Jacks wild souvenirs shop is selling all shirts for $10 each and all flip flops for $5 per pair. At the end of one day jacks shirts and flip flops sales totaled $325 for $41 items. How many shirts and flip flops did jack sell?

Let x = the number of shirts sold

Let y = the number of pairs of flip flops sold

Because 41 items were sold, therefore

x + y = 41 (1)

Shirts sell for $10 each, and a pair of flip flops for $5 per pair (or $2.50 each). Total sales is $325.

Therefore.

10x + 5y = 325

or, divide by 5 to obtain

2x + y = 65 (2)

Subtract (1) from (2).

2x + y - (x + y) = 65 - 41

x = 24

From (1), obtain

y = 41 - x = 41 - 24 = 17

Answer:

Jack sold 24 shirts and 17 pairs (or 34) of flip flops.