Ian had $444 more money than Valen at first. After Ian spent
23 of his money to buy a shirt and Valen spent
15 of his money to buy a jumpsuit, they had a total of $454 left. How much more did the shirt cost than the jumpsuit?
|
Ian |
Valen |
Comparing Ian and Valen at first |
444 more |
|
Before |
3x5 |
444 |
5x3 |
Change |
- 2x5 |
- 296 |
- 1x3 |
After |
1x5 |
148 |
4x3 |
|
Ian |
Valen |
Before |
15 u + 444 |
15 u |
Change |
- 10 u - 296 |
- 3 u |
After |
5 u + 148 |
12 u |
LCM of 3 and 5 = 15
23 x 444 = 296
444 - 296 = 148
Total amount that Ian and Valen had in the end
= 5 u + 148 + 12 u
= 17 u + 148
17 u + 148 = 454
17 u = 454 - 148
17 u = 306
1 u = 306 ÷ 17 = 18
Amount paid more for the shirt than the jumpsuit
= (10 u + 296) - 3 u
= 10 u - 3 u + 296
= 7 u + 296
= (7 x 18) + 296
= 126 + 296
= $422
Answer: $422