Mrs Oh had a sum of money. She gave her mother $560 and gave
15 of the remaining money to her nephew. She used
56 of the rest of the money on a dishwasher and was left with
110 of the amount she had at first. What was the sum of money she had at first?
Her mother |
Her nephew |
Remaining amount |
Total |
$560 |
1x3 |
4x3 |
|
|
|
Dishwasher |
Left |
|
|
|
5x2 |
1x2 |
|
9x2 = 18 u |
1x2 = 2 u |
|
5 u |
3 u |
10 u |
2 u |
20 u |
Fraction of the remaining amount left
= 1 -
56=
16The remaining amount is repeated. Make the remaining amount the same. LCM of 4 and 6 is 12.
The amount left is repeated. Make the amount left the same.
16 Remaining amount =
110 Total amount
Amount that Mrs Oh gave to her mother
= 18 u - 3 u - 10 u
= 5 u
5 u = 560
1 u = 560 ÷ 5 = 112
Total amount that Mrs Oh had at first
= 5 u + 3 u + 10 u + 2 u
= 20 u
= 20 x 112
= $2240
Answer(s): $2240