Mrs Koh had a sum of money. She gave her mother $297 and gave
13 of the remaining money to her daughter. She used
45 of the rest of the money on a computer and was left with
19 of the amount she had at first. What was the sum of money she had at first?
Her mother |
Her daughter |
Remaining amount |
Total |
$297 |
1x5 |
2x5 |
|
|
|
Computer |
Left |
|
|
|
4x2 |
1x2 |
|
8x2 = 16 u |
1x2 = 2 u |
|
3 u |
5 u |
8 u |
2 u |
18 u |
Fraction of the remaining amount left
= 1 -
45=
15The remaining amount is repeated. Make the remaining amount the same. LCM of 2 and 5 is 10.
The amount left is repeated. Make the amount left the same.
15 Remaining amount =
19 Total amount
Amount that Mrs Koh gave to her mother
= 16 u - 5 u - 8 u
= 3 u
3 u = 297
1 u = 297 ÷ 3 = 99
Total amount that Mrs Koh had at first
= 3 u + 5 u + 8 u + 2 u
= 18 u
= 18 x 99
= $1782
Answer(s): $1782