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genyjoannerubiera
16.10.2020 •
Mathematics
Brand A coffee sells for $7/pound, while Brand B sells for $5.40/pound. How much of each brand of coffee is needed to make 5 pounds that will cost
$6.75/pound?
A. 0.8 pounds Brand A, 4.2 pounds Brand B
B. 2.7 pounds Brand A. 2.3 pounds Brand B
C. 4.2 pounds Brand A. 0.8 pounds Brand B
D. 2.3 pounds Brand A. 2.7 pounds Brand B
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Ответ:
C. 4.2 pounds Brand A. 0.8 pounds Brand B
Step-by-step explanation:
How much of each brand of coffee is needed to make 5 pounds that will cost
$6.75/pound?
Let the number of pounds for Brand A = x
Let the number of pounds for Brand B = y
Brand A coffee sells for $7/pound, while Brand B sells for $5.40/pound.
$7 × x + $5.40 × y = $6.75 × 5
7x + 5.40y = 33.75Equation 1
x + y = 5 Equation 2
x = 5 - y
7(5 - y)+ 5.40y = 33.75
35 - 7y + 5.40y = 33.75
35 - 33.75 = 7y - 5.40y
= 1.25 = 1.6y
y = 1.25/1.6
y = 0.78125 pounds.
Approximately to the nearest whole number, Brand B = 0.8 pounds.
x = 5 - y
x = 5 - 0.8 pounds
x = 4.2 pounds
Brand A = 4.2 pounds
Ответ: