Emma had a sum of money. She spent $144 on a sweater and 47 of the remainder on a blouse. She was left with 15 of the original sum of money.
- What was the total amount Emma spent?
- How much money did Emma have at first?
| Sweater |
Remaining amount |
| |
Blouse |
Left |
| $144 |
4 |
3 |
4x3 =
12 u |
1x3 =
3 u |
| 8 u |
4 u |
3 u |
(a)
Fraction of the remaining amount left
= 1 -
47=
37The amount left is repeated.
Make the numerators the same. LCM of 3 and 1 is 3.
37 Remaining amount =
15 Total amount
3x17x1 Remaining amount =
1x35x3 Total amount
37 Remaining amount =
315 Total amount
Amount that Emma spent on the sweater
= 12 u - 4 u
= 8 u
8 u = 144
1 u = 144 ÷ 8 = 18
Total amount that Emma spent
= 8 u + 4 u
= 12 u
= 12 x 18
= $216
(b)
Total amount that Emma had at first
= 15 u
= 15 x 18
= $270
Answer(s): (a) $216; (b) $270
