Question

Allison's cupcake and cookie budget for her party is $105. She would like to have at least 40 cupcakes and cookies combined, and would like to have at most 5 more
cupcakes than cookies. If cupcakes sell for $2.50 and cookies for $1.50, which system of inequalities could help Allison determine possible numbers of cupcakes (a) and
cookies (b) that she should buy? (a > 0,b> )

Answer 1

Answer:a+b ≥40

5+a≤ b

2.50a+1.50b≤ 105

i believe

Step-by-step explanation:

The equations would be:

a+b ≥40 (cupcakes +cookies must be at least 40 total)

5+a≤ b

(At most 5 more cupcakes then cookies)

2.50a+1.50b≤ 105

(The cost of cookies and cupcakes must be less than $105)