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Question 1041802: Eva created a coffee blend for her restaurant by mixing Kenya and French Roast coffee beans. The Kenya beans cost $15 per pound and the French Roast costs $8 per pound. She bought a total of 10 pounds of coffee for a total of $97.50.
How much of each type of bean did she buy?
Select one:
a. 1.5 lbs Kenya and 8.5 lbs French Roast
b. 4 lbs Kenya and 6 lbs French Roast
c. 3 lbs Kenya and 7 lbs French Roast
d. 2.5 lbs Kenya and 7.5 lbs French Roast
Identify the chart that accurately displays the information and will help you solve the problem.
How many pounds of walnuts (cost: $7.60 per pound) must be mixed with 6 pounds of cashews (cost: $12 per pound) to make a mixture of nuts that costs $9.25 per pound?
Select one:
a.
Total cost ($) = Price ($/pound) * Amount (pounds)
Walnuts 7.6x = 7.60 * x
Cashews 72.00 = 12.00 * 6
Total Mix 9.25(6x) = 9.25
* 6x
b.
Total cost ($) = Price ($/pound) +
Amount (pounds)
Walnuts x+7.6 = 7.60 +
x
Cashews 18
= 12.00 +
6
Total Mix 9.25+(x + 6) = 9.25 +
x + 6
c.
Total cost ($) = Price ($/pound) * Amount (pounds)
Walnuts 45.60
= 7.60 * 6
Cashews 12x = 12.00 * x
Total Mix 9.25(x + 6) = 9.25
* x + 6
d.
Total cost ($) = Price ($/pound) * Amount (pounds)
Walnuts 7.6x = 7.60 * x
Cashews 72.00 = 12.00 * 6
Total Mix 9.25(x + 6) = 9.25 * x + 6
How many pounds of walnuts that cost $7.60 per pound must be mixed with 6 pounds of cashews that costs $12 per pound to make a mixture of nuts that costs $9.25 per pound?
Select one:
a. 10.5 pounds
b. 10 pounds
c. 8 pounds
d. 12 pounds
A chemist needs 40 liters of 20% acid solution. She has containers of 10% solution and 40% solution.
How many liters of each should she combine to get the needed solution?
Select one:
a. 26 liters of the 10% solution, and 14 liters of the 40% solution
b. 12 liters of the 10% solution, and 28 liters of the 40% solution
c. 26 2/3 liters of the 10% solution, and 13 1/3 liters of the 40% solution
d. 20 liters of the 10% solution, and 20 liters of the 40% solution
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Eva created a coffee blend for her restaurant by mixing Kenya and French Roast coffee beans. The Kenya beans cost $15 per pound and the French Roast costs $8 per pound. She bought a total of 10 pounds of coffee for a total of $97.50.
How much of each type of bean did she buy?
----
value + value = value
15x + 8(10-x) = 97.5
7x = 17.5
x = 2.5 lbs (amt. of Kenya beans)
10-x = 7.5 lbs (amt of French Roast beans)
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Identify the chart that accurately displays the information and will help you solve the problem.
How many pounds of walnuts (cost: $7.60 per pound) must be mixed with 6 pounds of cashews (cost: $12 per pound) to make a mixture of nuts that costs $9.25 per pound?
Select one:
value + value = value
Note: 7.6x + 12*6 = 9.25*(x+6)
Multiply thru by 100 to get:
760x + 1200*6 = 925*x + 925*6
-165x = -275*6
x = 10 lbs (amt. of walnuts needed)
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A chemist needs 40 liters of 20% acid solution. She has containers of 10% solution and 40% solution.
How many liters of each should she combine to get the needed solution?
acid + acid = acid
0.10x + 0.40(40-x) = 0.20*40
Multiply thru by 100 to get:
10x + 40*40 - 40x = 20*40
-30 x = -20*40
x = 26 2/3 liters (amt. of 10% needed)
40-x = 13 1/3 liters (amt of 40% needed)
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Cheers,
Stan H.
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