Victoria bought some presents for her siblings at an average price of $13.70. If Victoria decided to buy a pen which cost $14 for her father and a bag which cost $50 for her mother, the average price of the presents would become $19.80. How many presents did Victoria buy for her siblings?
| |
Siblings |
Siblings and parents |
| Number |
1 u |
1 u + 2 |
| Value |
13.70 |
19.80 |
| Total Value |
13.70 u |
19.80 u + 39.60 |
Number of presents that Victoria bought for her siblings = 1 u
Amount that Victoria spent on the presents for her siblings
= 1 u x 13.70
= 13.70 u
Amount that $(Lizy) spent if she bought for her parents
= 14 + 50
= $64
Total number of items bought if she bought for her parents and her siblings
= 1 u + 1 + 1
= 1 u + 2
Total amount that she spent if she bought for her parents and her siblings
= 19.80(1 u + 2)
= 19.80 u + 39.60
13.7 u + 64 = 19.80 u + 39.60
19.80 u - 13.7 u = 64 - 39.60
6.1 u = 24.40
1 u = 24.40 ÷ 6.1 = 4
Number of presents that she bought for her siblings
= 1 u
= 4
Answer(s): 4
