Yoko had a sum of money. She spent $275 on a blouse and 25 of the remainder on a skirt. She was left with 110 of the original sum of money.
- What was the total amount Yoko spent?
- How much money did Yoko have at first?
Blouse |
Remaining amount |
|
Skirt |
Left |
$275 |
2 |
3 |
9x3 = 27 u |
1x3 = 3 u |
25 u |
2 u |
3 u |
(a)
Fraction of the remaining amount left
= 1 -
25=
35The amount left is repeated.
Make the numerators the same. LCM of 3 and 1 is 3.
35 Remaining amount =
110 Total amount
3x15x1 Remaining amount =
1x310x3 Total amount
35 Remaining amount =
330 Total amount
Amount that Yoko spent on the blouse
= 27 u - 2 u
= 25 u
25 u = 275
1 u = 275 ÷ 25 = 11
Total amount that Yoko spent
= 25 u + 2 u
= 27 u
= 27 x 11
= $297
(b)
Total amount that Yoko had at first
= 30 u
= 30 x 11
= $330
Answer(s): (a) $297; (b) $330