Mrs Thia had a sum of money. She gave her nephew $780 and gave
14 of the remaining money to her son. She used
34 of the rest of the money on a laptop and was left with
17 of the amount she had at first. What was the sum of money she had at first?
Her nephew |
Her son |
Remaining amount |
Total |
$780 |
1x4 |
3x4 |
|
|
|
Laptop |
Left |
|
|
|
3x3 |
1x3 |
|
6x3 = 18 u |
1x3 = 3 u |
|
5 u |
4 u |
9 u |
3 u |
21 u |
Fraction of the remaining amount left
= 1 -
34=
14The remaining amount is repeated. Make the remaining amount the same. LCM of 3 and 4 is 12.
The amount left is repeated. Make the amount left the same.
14 Remaining amount =
17 Total amount
Amount that Mrs Thia gave to her nephew
= 18 u - 4 u - 9 u
= 5 u
5 u = 780
1 u = 780 ÷ 5 = 156
Total amount that Mrs Thia had at first
= 5 u + 4 u + 9 u + 3 u
= 21 u
= 21 x 156
= $3276
Answer(s): $3276