Question

10. Kate and Sophia are selling raffle tickets for a fundraiser.

Kate has sold 4 less than twice as many as Sophia.
If the two girls have sold a total of 38 tickets,
how many has each girl sold? equation and answer

Answer 1

Sophie sold 14

Kate sold 24

Explanation:

Kate has sold 4 less than twice as many as Sophia.

2s - 4

---------------------

sold a total of 38 tickets

Sophie + Kate = 38

s + (2s - 4) = 38

Combine like terms

3s - 4 = 38

Add 4 to both sides

3s = 42

Divide both sides by 3

s = 14

2s - 4 = 2*14 - 4 = 24