Question

The cost of a pack of chewing gum in a vending machine is $0.75.The cost of a bottle of juice in the same machine is $1.25.Julia has $22.00 to spend on chewing gum and bottles of juice for her team and she must buy seven packs of chewing gum.If b represents the number of bottles,which inequality represents the maximum number of bottles she can buy?
A. 0.75b+1.25(7)≥22
B. 0.75b+1.25(7)≤22
C. 0.75(7)+1.25b≥22
D. 0.75(7)+1.25b≤22

Answer 1

The correct answer is D, 0.75(7)+1.25b≤22

Answer 2

a=# of packs of chewing gum (7)    b=# of bottles of water 

0.75a + 1.25b _<_ 22      (substitute for a and b) 
0.75(7) +1.25b _<_ 22 


the sign is < because the total amount of the money she spends has to be less or equal to $22

The answer is D.