Elijah had $429 more money than Albert at first. After Elijah spent
23 of his money to buy a shirt and Albert spent
15 of his money to buy a dress, they had a total of $500 left. How much more did the shirt cost than the dress?
|
Elijah |
Albert |
Comparing Elijah and Albert at first |
429 more |
|
Before |
3x5 |
429 |
5x3 |
Change |
- 2x5 |
- 286 |
- 1x3 |
After |
1x5 |
143 |
4x3 |
|
Elijah |
Albert |
Before |
15 u + 429 |
15 u |
Change |
- 10 u - 286 |
- 3 u |
After |
5 u + 143 |
12 u |
LCM of 3 and 5 = 15
23 x 429 = 286
429 - 286 = 143
Total amount that Elijah and Albert had in the end
= 5 u + 143 + 12 u
= 17 u + 143
17 u + 143 = 500
17 u = 500 - 143
17 u = 357
1 u = 357 ÷ 17 = 21
Amount paid more for the shirt than the dress
= (10 u + 286) - 3 u
= 10 u - 3 u + 286
= 7 u + 286
= (7 x 21) + 286
= 147 + 286
= $433
Answer: $433