Mrs Cheong had a sum of money. She gave her nephew $1498 and gave
16 of the remaining money to her mother. She used
56 of the rest of the money on a washing machine and was left with
110 of the amount she had at first. What was the sum of money she had at first?
Her nephew |
Her mother |
Remaining amount |
Total |
$1498 |
1x6 |
5x6 |
|
|
|
Washing Machine |
Left |
|
|
|
5x5 |
1x5 |
|
9x5 = 45 u |
1x5 = 5 u |
|
14 u |
6 u |
25 u |
5 u |
50 u |
Fraction of the remaining amount left
= 1 -
56=
16The remaining amount is repeated. Make the remaining amount the same. LCM of 5 and 6 is 30.
The amount left is repeated. Make the amount left the same.
16 Remaining amount =
110 Total amount
Amount that Mrs Cheong gave to her nephew
= 45 u - 6 u - 25 u
= 14 u
14 u = 1498
1 u = 1498 ÷ 14 = 107
Total amount that Mrs Cheong had at first
= 14 u + 6 u + 25 u + 5 u
= 50 u
= 50 x 107
= $5350
Answer(s): $5350