Xylia had a sum of money. She spent $39 on a skirt and 37 of the remainder on a coat. She was left with 15 of the original sum of money.
- What was the total amount Xylia spent?
- How much money did Xylia have at first?
| Skirt |
Remaining amount |
| |
Coat |
Left |
| $39 |
3 |
4 |
4x4 =
16 u |
1x4 =
4 u |
| 13 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 =
15 Total amount
4x17x1 Remaining amount =
1x45x4 Total amount
47 Remaining amount =
420 Total amount
Amount that Xylia spent on the skirt
= 16 u - 3 u
= 13 u
13 u = 39
1 u = 39 ÷ 13 = 3
Total amount that Xylia spent
= 13 u + 3 u
= 16 u
= 16 x 3
= $48
(b)
Total amount that Xylia had at first
= 20 u
= 20 x 3
= $60
Answer(s): (a) $48; (b) $60
