Gillian had a sum of money. She spent $22 on a skirt and 710 of the remainder on a coat. She was left with 17 of the original sum of money.
- What was the total amount Gillian spent?
- How much money did Gillian have at first?
Skirt |
Remaining amount |
|
Coat |
Left |
$22 |
7 |
3 |
6x3 = 18 u |
1x3 = 3 u |
11 u |
7 u |
3 u |
(a)
Fraction of the remaining amount left
= 1 -
710=
310The amount left is repeated.
Make the numerators the same. LCM of 3 and 1 is 3.
310 Remaining amount =
17 Total amount
3x110x1 Remaining amount =
1x37x3 Total amount
310 Remaining amount =
321 Total amount
Amount that Gillian spent on the skirt
= 18 u - 7 u
= 11 u
11 u = 22
1 u = 22 ÷ 11 = 2
Total amount that Gillian spent
= 11 u + 7 u
= 18 u
= 18 x 2
= $36
(b)
Total amount that Gillian had at first
= 21 u
= 21 x 2
= $42
Answer(s): (a) $36; (b) $42