jamarstand
31.08.2019 •
Mathematics
Anew mixture of self-tanning & moisturizing lotions for everyday use is being developed. this mixture is made by mixing 700 ounces of everyday moisturizing lotion for $0.70 per ounce with self-tanning lotion worth $22 per ounce. if the new self-tanning & moisturizing lotion mixture is to cost $ 1.30 per ounce, how many ounces of the self-tanning lotion should be in the mixture?
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Ответ:
x = ounces of moisturizing lotion used,
y = ounces of self-tanning lotion used.
The sum of the two lotions per ounce is equal to one ounce. Therefore
x + y = 1 (1)
Moisturizing lotion costs $0.70 per ounce.
Self-tanning lotion costs $22 per ounce.
Because the product costs $1.30 per ounce. Therefore
0.70x + 22y = 1.30 (2)
From (1), obtain
y = 1 - x (3)
Substitute (3) into (2).
0.70x + 22(1 - x) = 1.30
0.70x - 22x + 22 = 1.30
-21.3x = -20.7
x = 0.9718 ounces
From (3), obtain
y = 1 - 0.9718 = 0.0282 ounces.
A batch of the product is 700 ounces. Therefore the amount of self-tanning lotion used is
700*y = 700*0.0282 = 19.74 ounces
19.74 ounces
Ответ:
100 times greater
Step-by-step explanation: