Diana had a sum of money. She spent $56 on a skirt and 710 of the remainder on a jumpsuit. She was left with 18 of the original sum of money.
- What was the total amount Diana spent?
- How much money did Diana have at first?
Skirt |
Remaining amount |
|
Jumpsuit |
Left |
$56 |
7 |
3 |
7x3 = 21 u |
1x3 = 3 u |
14 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 =
18 Total amount
3x110x1 Remaining amount =
1x38x3 Total amount
310 Remaining amount =
324 Total amount
Amount that Diana spent on the skirt
= 21 u - 7 u
= 14 u
14 u = 56
1 u = 56 ÷ 14 = 4
Total amount that Diana spent
= 14 u + 7 u
= 21 u
= 21 x 4
= $84
(b)
Total amount that Diana had at first
= 24 u
= 24 x 4
= $96
Answer(s): (a) $84; (b) $96