Question

Your school’s band decides to sell cookie dough kits to raise money for a spring field trip. There is a Family Times Cookie Dough kit that you can buy for $7 and sell for $12, and a Baker’s Delight kit that you can buy for $15 and sell for $25. The PTA will lend you $2100 to buy supplies. The company selling you the kits informs you that a school your size can expect to sell at most 220 kits. Questions: How many of each type of kit should your band purchase to raise the most money? What is the most money that your band can raise?

Answer 1

Explanation:

let the Cookie Dough kit be x

and Baker’s Delight kit be y

cost of Cookie Dough kit= $7

cost of Baker’s Delight= $15

so

x+y=220------------1

7x+15y=2100------2

solve for x and y we have

multiply eqn 1 by 7 and subtract

7x+7y=1540---------3

- 7x+15y=2100-------2

0x-8y=-560

8y=560

divide both sides by 8 we have

y=560/8

y=70

put y=70 in eqn 1 we have

x+70=220

x=220-70

x=150

x=220-70

x=150

A. How many of each type of kit should your band purchase to raise the most money

Cookie Dough kit= 150

Baker’s Delight= 70

B. What is the most money that your band can raise?

Cookie Dough kit profit= selling price-cost price= 12-7= $5

Baker’s Delight profit= selling price-cost price= 25-15= $10

Amount made for Cookie Dough = 150*5=$750

Amount made for Baker’s Delight = 70*10=$700

total= 750+700= $1450