Question

FOWhat system of inequalities would you use to solve the problem below?You must buy cupcakes and pizza for a party. Each cupcake costs $2, andeach pizza pie costs $10. You know that you need at least 6 pizzas so thateach person can have at least 2 slices of pizza. In addition, you cannot spendmore than $90. If you want to figure out how many cupcakes and pizza piesyou can buy, what system of inequalities would you write?O A.2c +10p ≤ 90p≥62c + 10 p > 90B.p<6O c.2c + 10p < 90p22D.C+ p 902c +10p≥ 6

Answer 1

Let c be the number of cupcakes and let p be the be the number of pizza pie

For the first inequality

We will use this statements below to write the first inequality;

"Each cupcake costs $2, and each pizza pie costs $10" and "you cannot spend more than $90"

2c + 10p ≤ 90

As for the second inequality, you will use the statement "You know that you need at least 6 pizzas"

p ≥ 6

Therefore he system of inequalities are:

2c + 10p ≤ 90

p ≥ 6