Question

A shop sells shakes for $2 and doublescoop cones for $3. One day they sold 8 more shakes than scoops, and made $156. How many shakes and scoops did they sell?

Answer 1

x = 36 and y = 28

Explanation:

Let she sells x shakes and y doublescoop cones

One day they sold 8 more shakes than scoops, and made $156.

ATQ,

2x+3y = 156 ..(1)

Also,

x = y+8 ..(2)

Put the value of x from (1) to equation (2)

2(y+8)+3y = 156

2y+16+3y = 156

5y = 156 - 16

5y = 140

y = 28

Put the value of y in equation (2)

x = 28+8

x = 36

Hence, they will sell 36 shakes and 28 doublescoop cones.