Andy had $309 more money than Ian at first. After Andy spent
23 of his money to buy a blouse and Ian spent
15 of his money to buy a jacket, they had a total of $409 left. How much more did the blouse cost than the jacket?
|
Andy |
Ian |
Comparing Andy and Ian at first |
309 more |
|
Before |
3x5 |
309 |
5x3 |
Change |
- 2x5 |
- 206 |
- 1x3 |
After |
1x5 |
103 |
4x3 |
|
Andy |
Ian |
Before |
15 u + 309 |
15 u |
Change |
- 10 u - 206 |
- 3 u |
After |
5 u + 103 |
12 u |
LCM of 3 and 5 = 15
23 x 309 = 206
309 - 206 = 103
Total amount that Andy and Ian had in the end
= 5 u + 103 + 12 u
= 17 u + 103
17 u + 103 = 409
17 u = 409 - 103
17 u = 306
1 u = 306 ÷ 17 = 18
Amount paid more for the blouse than the jacket
= (10 u + 206) - 3 u
= 10 u - 3 u + 206
= 7 u + 206
= (7 x 18) + 206
= 126 + 206
= $332
Answer: $332