Mrs Sih had a sum of money. She gave her nephew $2268 and gave
16 of the remaining money to her son. She used
34 of the rest of the money on a home theater system and was left with
19 of the amount she had at first. What was the sum of money she had at first?
Her nephew |
Her son |
Remaining amount |
Total |
$2268 |
1x4 |
5x4 |
|
|
|
Home Theater System |
Left |
|
|
|
3x5 |
1x5 |
|
8x5 = 40 u |
1x5 = 5 u |
|
21 u |
4 u |
15 u |
5 u |
45 u |
Fraction of the remaining amount left
= 1 -
34=
14The remaining amount is repeated. Make the remaining amount the same. LCM of 5 and 4 is 20.
The amount left is repeated. Make the amount left the same.
14 Remaining amount =
19 Total amount
Amount that Mrs Sih gave to her nephew
= 40 u - 4 u - 15 u
= 21 u
21 u = 2268
1 u = 2268 ÷ 21 = 108
Total amount that Mrs Sih had at first
= 21 u + 4 u + 15 u + 5 u
= 45 u
= 45 x 108
= $4860
Answer(s): $4860