Blend Coffee Beans
Blend Coffee Beans
Mary Wart blends coffee for Tast-Delight. She needs to prepare 170pounds?
of blended coffee beans selling for $4.56 per pound. She plans to do this by blending together a high-quality bean costing $5.50 per pound and a cheaper bean at $3.50 per pound. To the nearest pound, find how much high-quality coffee bean and how much cheaper coffee bean she should blend.
She should blend ? lbs. of high quality beans.
She should blend ? lbs. of cheaper beans.
Print-friendly page
"Mixture" Word Problems
Mixture problems involve creating a mixture from two or more things, and then determining some quality (percentage, price, etc) of the resulting mixture. For example:
Your school is holding a "family friendly" event this weekend. Students have been pre-selling tickets to the event; adult tickets are $5.00, and child tickets (for six-years-old and under) are $2.50. From past experience, you expect about 13,000 people to attend the event. But this is the first year in which tickets prices have been reduced for the younger children, so you really don't know how many child tickets and how many adult tickets you can expect to sell. Your boss wants you to estimate the expected ticket revenue. You decide to use the information from the pre-sold tickets to estimate the ratio of adults to children, and figure the expected revenue from this information.
You consult with your student ticket-sellers, and discover that they have not been keeping track of how many child tickets they have sold. The tickets are identical, until the ticket-seller punches a hole in the ticket, indicating that it is a child ticket. But they don't remember how many holes they've punched. They only know that they've sold 548 tickets for $2460. How much revenue from each of child and adult tickets can you expect?
To solve this, we need to figure out the ratio of tickets that have already been sold. If we work methodically, we can find the answer.
Let A stand for the number of adult tickets pre-sold, and C stand for the child tickets pre-sold. Then A + C = 548. Also, since each adult ticket cost $5.00, then ($5.00)A stands for the revenue brought in from the adult tickets pre-sold; likewise, ($2.50)C stands for the revenue brought in from the child tickets. Then ($5.00)A + ($2.50)C = $2460. But we can only solve an equation with one variable, not two. So look again at that first equation. If A + C = 548, then A = 548 – C (or C = 548 – A; it doesn't matter at this stage which variable you solve for). Organizing this information in a grid, we get:
tickets sold $/ticket total $
adult 548 – C $5 $5(548 – C)
child C $2.50 $2.50C
total 548 --- $2460
From the last column, we get (total $ from the adult tickets) plus (total $ from the child tickets) is (the total $ so far), or, as an equation:
($5.00)(548 – C) + ($2.50)C = $2460
$2740 – ($5.00)C + ($2.50)C = $2460
$2740 – ($2.50)C = $2460
–($2.50)C = –$280
C = –$280/–$2.50 = 112
Then 112 child tickets were pre-sold, and A = 548 – 112 = 436 adult tickets were sold. (Using "A" and "C" for our variables, instead of "x" and "y", was helpful, because the variables suggested what they stood for. We knew instantly that "C = 112" meant "112 child tickets". This is a useful technique.)
Will It Blend - Coffee Beans.avi
 |
 STARBUCKS CHRISTMAS BLEND 2011 WHOLE BEAN COFFEE 4 POUNDS  US $45.00
|
 STARBUCKS CHRISTMAS BLEND 2011 WHOLE BEAN COFFEE 474 POUNDS US $41.00
|
 Starbucks Christmas Blend Whole Bean Coffee 1 Lb 2011 US $21.95
|
 Starbucks 2011 Christmas Blend Whole Bean Coffee US $13.95
|
 STARBUCKS CHRISTMAS BLEND ESPRESSO ROAST WHOLE BEAN COFFEE 3 LBS US $38.00
|
 Starbucks coffee 2011 Christmas Blend 1 pound whole bean US $20.00
|
 Starbucks Iced Coffee Blend Whole Bean 5 lbs US $44.99
|
 5 pounds 2011 NEW Starbucks Christmas Blend Coffee WHOLE BEAN US $82.99
|
 STARBUCKS CHRISTMAS BLEND WHOLE BEAN GROUND COFFEE8 OZ BAG NEW SEALED US $8.00
|
 Kopi Luwak Civet Papua Arabica Blend Coffee Bean 100g US $9.99
|
 STARBUCKS CHRISTMAS BLEND ESPRESSO ROAST WHOLE BEAN COFFEE 4 LBS US $65.00
|
 1899 Ad C F Blanke Coffee Faust Bean Java Mocha Blend Brew Dinner Party Table US $38.95
|
 LOT 2 PEETS HOUSE BLEND COFFEE BEANS FRESH US $15.99
|
 Starbucks Christmas Blend Whole Bean Coffee 1 Lb US $16.80
|
 Starbucks Komodo Dragon Blend Whole Bean coffee US $36.00
|
 Starbucks Christmas Blend Coffee Beans 6LBS NEW Whole Bean Coffee 6 Pounds NEW US $95.95
|
 K cups Cremesso Swiss Switzerland Coffee Ristretto Taste BLEND Arabicas Beans US $7.99
|
 STARBUCKS HOUSE BLEND MELANGE MAISON WHOLE BEAN COFFEE US $10.00
|
 Starbucks Christmas Blend Espresso Roast Whole Bean Coffee Net Weight 16 oz US $9.00
|
 UNOPENED 2 lbs Starbucks Whole Bean Coffee Christmas Blend 2011 US $11.00
|
| Powered by phpBay Pro |
 |
Vitamix Eastman Tritan Copolyester 32-Ounce Container with Dry Blade, Lid, and Recipe Book List Price: $174.00 Sale Price: $107.47 Used From: $95.65  |
|
This smaller Dry Blade container is ideal for grinding rubs, making marinades and other jobs where you don't need the 64 oz. container. Also, grinding grain for bread is a snap! Comes with the Vita-Mix whole grain recipe book... |
 |
West Bend 82416 Air Crazy 4 Quart Corn Popper List Price: $0.00 Sale Price: Too low to display Used From: $25.93 |
|
West Bend Air Crazy Corn Popper. Pops 3.5 qts of popcorn in 3 minutes, no oil required, butter cup doubles as a fill measuring cup for the popcorn chamber, slim design for easy storage, easy wind cord base, on/off switch |
 |
Lavazza Top Class Espresso Whole Bean Coffee, 2.2-Pound Bag List Price: $29.61 Sale Price: $21.60 |
|
LavAzza Grand' Espresso blends coffees from the South American uplands with fragrant Asian varieties and intense Central American beans for a rich and intense flavor. Grand Espresso is excellent for all espresso and coffee brewing methods... |
 |
RUBBERMAID Super Stitch Wet Mop Heads - White List Price: $25.25 Sale Price: $9.36 |
|
RUBBERMAID Super Stitch Wet Mop Heads are ideal for scrubbing, damp mopping, and all-purpose cleaning.Cotton blend fiber is launderable. Absorb 5 times dry weight. 1" headband. 5-week life expectancy. Compact packaging. |
 |
24OZ Cott Blend Mop List Price: $9.48 Sale Price: $8.80 |
|
24 OZ 4 Ply Cotton Blend Mop, Cut Ends, No Tailband, Not Recommended For Laundering. |
 |
Millstone Breakfast Blend Whole Bean Coffee, 12-Ounce Packages (Pack of 2) List Price: $18.92 Sale Price: $12.64 |
|
Bright and smooth with floral notes. Our passionate commitment to gourmet coffee begins high in the remote mountains, where sun, rain and soil combine to produce exceptionally rich Arabica coffee beans... |
 |
Starbucks House Blend Whole Bean Coffee - 32oz Sale Price: $21.69 |
|
We believe there's a connection between the farmers who grow our coffees, us and you. That's why we work together with coffee growing communities - paying prices that help farmers support their families and improve their farms, and funding education, healthcare and environmental projects that benefit those communities... |