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3 years ago

11

The tech club is selling cookies and brownies at the swim meet to raise money for next year's activities. If cookies sell for $0

.50 and brownies sell for $0.75, what combinations of treats need to be sold to raise $100?

1 answer:

sveticcg [70]3 years ago

3 0

Cookies=x
brownies=y
.5x+.75y=100
.5x=100-.75y
x=200-1.5y
400-3y+.75y=100
-2.25y=-300
y=133.333
x=0

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Step-by-step explanation:

We need to determine the value of c that will result in a perfect square trinomial.

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$w^2+6w+ c=130+c\\w^2+2(w)(3)+ (3)^2 =130+(3)^2\\The\:left\:side\:becomes: a^2+2ab+b^2\\We\:can\:write\:it\:as: (a+b)^2\\We\:have\:a=w\: and\: b=3\\(w+3)^2=130+9\\(w+3)^2=139$

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