Barbara had a sum of money. She spent $16 on a dress and 35 of the remainder on a jumpsuit. She was left with 13 of the original sum of money.
- What was the total amount Barbara spent?
- How much money did Barbara have at first?
| Dress |
Remaining amount |
| |
Jumpsuit |
Left |
| $16 |
3 |
2 |
2x2 =
4 u |
1x2 =
2 u |
| 1 u |
3 u |
2 u |
(a)
Fraction of the remaining amount left
= 1 -
35=
25The amount left is repeated.
Make the numerators the same. LCM of 2 and 1 is 2.
25 Remaining amount =
13 Total amount
2x15x1 Remaining amount =
1x23x2 Total amount
25 Remaining amount =
26 Total amount
Amount that Barbara spent on the dress
= 4 u - 3 u
= 1 u
1 u = 16
1 u = 16 ÷ 1 = 16
Total amount that Barbara spent
= 1 u + 3 u
= 4 u
= 4 x 16
= $64
(b)
Total amount that Barbara had at first
= 6 u
= 6 x 16
= $96
Answer(s): (a) $64; (b) $96
