Tommy had $258 more money than Ethan at first. After Tommy spent
23 of his money to buy a jumpsuit and Ethan spent
15 of his money to buy a shirt, they had a total of $460 left. How much more did the jumpsuit cost than the shirt?
| |
Tommy |
Ethan |
Comparing Tommy and
Ethan at first |
258 more |
|
| Before |
3x5 |
258 |
5x3 |
| Change |
- 2x5 |
- 172 |
- 1x3 |
| After |
1x5 |
86 |
4x3 |
| |
Tommy |
Ethan |
| Before |
15 u + 258 |
15 u |
| Change |
- 10 u - 172 |
- 3 u |
| After |
5 u + 86 |
12 u |
LCM of 3 and 5 = 15
23 x 258 = 172
258 - 172 = 86
Total amount that Tommy and Ethan had in the end
= 5 u + 86 + 12 u
= 17 u + 86
17 u + 86 = 460
17 u = 460 - 86
17 u = 374
1 u = 374 ÷ 17 = 22
Amount paid more for the jumpsuit than the shirt
= (10 u + 172) - 3 u
= 10 u - 3 u + 172
= 7 u + 172
= (7 x 22) + 172
= 154 + 172
= $326
Answer: $326
