Mrs Teo had a sum of money. She gave her son $970 and gave
14 of the remaining money to her daughter. She used
45 of the rest of the money on a notebook and was left with
110 of the amount she had at first. What was the sum of money she had at first?
Her son |
Her daughter |
Remaining amount |
Total |
$970 |
1x5 |
3x5 |
|
|
|
Notebook |
Left |
|
|
|
4x3 |
1x3 |
|
9x3 = 27 u |
1x3 = 3 u |
|
10 u |
5 u |
12 u |
3 u |
30 u |
Fraction of the remaining amount left
= 1 -
45=
15The remaining amount is repeated. Make the remaining amount the same. LCM of 3 and 5 is 15.
The amount left is repeated. Make the amount left the same.
15 Remaining amount =
110 Total amount
Amount that Mrs Teo gave to her son
= 27 u - 5 u - 12 u
= 10 u
10 u = 970
1 u = 970 ÷ 10 = 97
Total amount that Mrs Teo had at first
= 10 u + 5 u + 12 u + 3 u
= 30 u
= 30 x 97
= $2910
Answer(s): $2910