Cindy had a sum of money. She spent $377 on a blazer and 37 of the remainder on a skirt. She was left with 19 of the original sum of money.
- What was the total amount Cindy spent?
- How much money did Cindy have at first?
Blazer |
Remaining amount |
|
Skirt |
Left |
$377 |
3 |
4 |
8x4 = 32 u |
1x4 = 4 u |
29 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 =
19 Total amount
4x17x1 Remaining amount =
1x49x4 Total amount
47 Remaining amount =
436 Total amount
Amount that Cindy spent on the blazer
= 32 u - 3 u
= 29 u
29 u = 377
1 u = 377 ÷ 29 = 13
Total amount that Cindy spent
= 29 u + 3 u
= 32 u
= 32 x 13
= $416
(b)
Total amount that Cindy had at first
= 36 u
= 36 x 13
= $468
Answer(s): (a) $416; (b) $468