Peter and Cindy each had some money at first. Peter started spending $1.20 daily.

After 15 days, Cindy started spending 1 2/3 of what Peter spent daily. When CIndy

spent all of her money, she had spent $11.60 more than Peter.

a) How many days did Cindy take to spend all of her money?

b) How much did Peter spend in total when Cindy spent all of her money?

Guest Sep 20, 2021

#1**+1 **

Peter spent: $1.20 * 15 ==$18 spent in 15 days.

$1.20 * 1 2/3 ==$2 - what Cindy spent daily

a) 2D ==18 + 1.20D + 11.60, solve for D

2D - 1.20D ==29.60

0.8D == 29.60

D==29.60 / 0.8 ==**37 days it took Cindy to spend all her money.**

**b) Peter spent: $1.20 * [37 + 15] days==$1.20 x 52 days ==$62.40 in total**

Check: Cindy spent:$2 * 37 days==$74

$74 - $62.40 ==$11.60 that Cindy spent more than Peter.

Guest Sep 22, 2021

edited by
Guest
Sep 22, 2021