Abi bought some souvenirs for her siblings at an average price of $13.30. If Abi decided to buy a pen which cost $17 for her father and a bag which cost $44 for her mother, the average price of the souvenirs would become $17.60. How many souvenirs did Abi buy for her siblings?
| |
Siblings |
Siblings and parents |
| Number |
1 u |
1 u + 2 |
| Value |
13.30 |
17.60 |
| Total Value |
13.30 u |
17.60 u + 35.20 |
Number of souvenirs that Abi bought for her siblings = 1 u
Amount that Abi spent on the souvenirs for her siblings
= 1 u x 13.30
= 13.30 u
Amount that $(Lizy) spent if she bought for her parents
= 17 + 44
= $61
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
= 17.60(1 u + 2)
= 17.60 u + 35.20
13.3 u + 61 = 17.60 u + 35.20
17.60 u - 13.3 u = 61 - 35.20
4.3 u = 25.80
1 u = 25.80 ÷ 4.3 = 6
Number of souvenirs that she bought for her siblings
= 1 u
= 6
Answer(s): 6
