Ethan had $312 more money than Caden at first. After Ethan spent
23 of his money to buy a shirt and Caden spent
15 of his money to buy a jacket, they had a total of $427 left. How much more did the shirt cost than the jacket?
|
Ethan |
Caden |
Comparing Ethan and Caden at first |
312 more |
|
Before |
3x5 |
312 |
5x3 |
Change |
- 2x5 |
- 208 |
- 1x3 |
After |
1x5 |
104 |
4x3 |
|
Ethan |
Caden |
Before |
15 u + 312 |
15 u |
Change |
- 10 u - 208 |
- 3 u |
After |
5 u + 104 |
12 u |
LCM of 3 and 5 = 15
23 x 312 = 208
312 - 208 = 104
Total amount that Ethan and Caden had in the end
= 5 u + 104 + 12 u
= 17 u + 104
17 u + 104 = 427
17 u = 427 - 104
17 u = 323
1 u = 323 ÷ 17 = 19
Amount paid more for the shirt than the jacket
= (10 u + 208) - 3 u
= 10 u - 3 u + 208
= 7 u + 208
= (7 x 19) + 208
= 133 + 208
= $341
Answer: $341