Yoko had a sum of money. She spent $336 on a skirt and 37 of the remainder on a blouse. She was left with 17 of the original sum of money.
- What was the total amount Yoko spent?
- How much money did Yoko have at first?
Skirt |
Remaining amount |
|
Blouse |
Left |
$336 |
3 |
4 |
6x4 = 24 u |
1x4 = 4 u |
21 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 =
17 Total amount
4x17x1 Remaining amount =
1x47x4 Total amount
47 Remaining amount =
428 Total amount
Amount that Yoko spent on the skirt
= 24 u - 3 u
= 21 u
21 u = 336
1 u = 336 ÷ 21 = 16
Total amount that Yoko spent
= 21 u + 3 u
= 24 u
= 24 x 16
= $384
(b)
Total amount that Yoko had at first
= 28 u
= 28 x 16
= $448
Answer(s): (a) $384; (b) $448