Pamela had a sum of money. She spent $476 on a blazer and 27 of the remainder on a skirt. She was left with 17 of the original sum of money.
- What was the total amount Pamela spent?
- How much money did Pamela have at first?
Blazer |
Remaining amount |
|
Skirt |
Left |
$476 |
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 Pamela spent on the blazer
= 30 u - 2 u
= 28 u
28 u = 476
1 u = 476 ÷ 28 = 17
Total amount that Pamela spent
= 28 u + 2 u
= 30 u
= 30 x 17
= $510
(b)
Total amount that Pamela had at first
= 35 u
= 35 x 17
= $595
Answer(s): (a) $510; (b) $595