Question

Alison is buying binders for school. Small binders cost $3 each, and large binders cost $5 each. If Alison needs to buy at least 12 binders and has no more than $45 to spend, what is the maximum number of large binders she can buy?

a. 4

b 5

c 8

d 9

Answer 1

4 large folders ( and 8 small folders....with $ 1 left over)

Explanation:

x = small y = large folders

x+y >= 12 x >= 12-y

3x + 5y <= 45

3 (12-y) + 5y <=45

36 -3y + 5y <= 45

y <= 4.5 you cannot buy .5 of a large folder, so 4 large folders

Answer 2

9

Explanation: