Penelope had a sum of money. She spent $15 on a blazer and 37 of the remainder on a coat. She was left with 13 of the original sum of money.
- What was the total amount Penelope spent?
- How much money did Penelope have at first?
| Blazer |
Remaining amount |
| |
Coat |
Left |
| $15 |
3 |
4 |
2x4 =
8 u |
1x4 =
4 u |
| 5 u |
3 u |
4 u |
(a)
Fraction of the remaining amount left
= 1 -
37=
47The amount left is repeated.
Make the numerators the same. LCM of 4 and 1 is 4.
47 Remaining amount =
13 Total amount
4x17x1 Remaining amount =
1x43x4 Total amount
47 Remaining amount =
412 Total amount
Amount that Penelope spent on the blazer
= 8 u - 3 u
= 5 u
5 u = 15
1 u = 15 ÷ 5 = 3
Total amount that Penelope spent
= 5 u + 3 u
= 8 u
= 8 x 3
= $24
(b)
Total amount that Penelope had at first
= 12 u
= 12 x 3
= $36
Answer(s): (a) $24; (b) $36
