Penelope had a sum of money. She spent $228 on a vest and 27 of the remainder on a blazer. She was left with 19 of the original sum of money.
- What was the total amount Penelope spent?
- How much money did Penelope have at first?
Vest |
Remaining amount |
|
Blazer |
Left |
$228 |
2 |
5 |
8x5 = 40 u |
1x5 = 5 u |
38 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 =
19 Total amount
5x17x1 Remaining amount =
1x59x5 Total amount
57 Remaining amount =
545 Total amount
Amount that Penelope spent on the vest
= 40 u - 2 u
= 38 u
38 u = 228
1 u = 228 ÷ 38 = 6
Total amount that Penelope spent
= 38 u + 2 u
= 40 u
= 40 x 6
= $240
(b)
Total amount that Penelope had at first
= 45 u
= 45 x 6
= $270
Answer(s): (a) $240; (b) $270