Penelope had a sum of money. She spent $56 on a vest and 27 of the remainder on a jacket. She was left with 17 of the original sum of money.
- What was the total amount Penelope spent?
- How much money did Penelope have at first?
| Vest |
Remaining amount |
| |
Jacket |
Left |
| $56 |
2 |
5 |
6x5 =
30 u |
1x5 =
5 u |
| 28 u |
2 u |
5 u |
(a)
Fraction of the remaining amount left
= 1 -
27=
57The amount left is repeated.
Make the numerators the same. LCM of 5 and 1 is 5.
57 Remaining amount =
17 Total amount
5x17x1 Remaining amount =
1x57x5 Total amount
57 Remaining amount =
535 Total amount
Amount that Penelope spent on the vest
= 30 u - 2 u
= 28 u
28 u = 56
1 u = 56 ÷ 28 = 2
Total amount that Penelope spent
= 28 u + 2 u
= 30 u
= 30 x 2
= $60
(b)
Total amount that Penelope had at first
= 35 u
= 35 x 2
= $70
Answer(s): (a) $60; (b) $70
