Neave had $357 more money than Jack at first. After Neave spent
23 of his money to buy a shirt and Jack spent
14 of his money to buy a jacket, they had a total of $548 left. How much more did the shirt cost than the jacket?
| |
Neave |
Jack |
Comparing Neave and
Jack at first |
$357 more |
|
| Before |
3x4 |
$357 |
4x3 |
| Change |
- 2x4 |
- $238 |
- 1x3 |
| After |
1x4 |
$119 |
3x3 |
| |
Neave |
Jack |
| Before |
12 u + 357 |
12 u |
| Change |
- 8 u - 238 |
- 3 u |
| After |
4 u + 119 |
9 u |
LCM of 3 and 4 = 12
23 x 357 = 238
357 - 238 = 119
Total amount that Neave and Jack had in the end
= 4 u + 119 + 9 u
= 13 u + 119
13 u + 119 = 548
13 u = 548 - 119
13 u = 429
1 u = 429 ÷ 13 = 33
Amount paid more for the shirt than the jacket
= (8 u + 238) - 3 u
= 8 u - 3 u + 238
= 5 u + 238
= (5 x 33) + 238
= 165 + 238
= $403
Answer(s): $403
