Emma had a sum of money. She spent $756 on a sweater and 38 of the remainder on a skirt. She was left with 110 of the original sum of money.
- What was the total amount Emma spent?
- How much money did Emma have at first?
| Sweater |
Remaining amount |
| |
Skirt |
Left |
| $756 |
3 |
5 |
9x5 =
45 u |
1x5 =
5 u |
| 42 u |
3 u |
5 u |
(a)
Fraction of the remaining amount left
= 1 -
38=
58The amount left is repeated.
Make the numerators the same. LCM of 5 and 1 is 5.
58 Remaining amount =
110 Total amount
5x18x1 Remaining amount =
1x510x5 Total amount
58 Remaining amount =
550 Total amount
Amount that Emma spent on the sweater
= 45 u - 3 u
= 42 u
42 u = 756
1 u = 756 ÷ 42 = 18
Total amount that Emma spent
= 42 u + 3 u
= 45 u
= 45 x 18
= $810
(b)
Total amount that Emma had at first
= 50 u
= 50 x 18
= $900
Answer(s): (a) $810; (b) $900
