Three girls gave an equal amount of money to buy a souvenir for Japheth. Kylie used
15 of her money. Erika used
23 of her money and Nora used
45 of hers. They had a total of $279 at first. How much was the souvenir?
| |
Kylie |
Erika |
Nora |
Total |
| Before |
5x4 =
20 u |
3x2 =
6 u |
5x1 =
5 u |
31 u ($279) |
| Change |
- 1x4 =
- 4 u |
- 2x2 =
- 4 u |
- 4x1 =
- 4 u |
- 12 u |
| After |
4x4 =
16 u |
1x2 =
2 u |
1x1 =
1 u |
19 u |
The three girls gave equal amount of money to buy the souvenir. Make the amount that each spent the same. LCM of 1, 2 and 4 is 4.
Total amount that three girls had at first
= 20 u + 6 u + 5 u
= 31 u
31 u = 279
1 u = 279 ÷ 31 = 9
Cost of the souvenir
= 3 x 4 u
= 12 u
= 12 x 9
= $108
Answer(s): $108
