Gabby bought some souvenirs for her siblings at an average price of $11.60. If Gabby decided to buy a pen which cost $19 for her father and a bag which cost $33 for her mother, the average price of the souvenirs would become $14.80. How many souvenirs did Gabby buy for her siblings?
|
Siblings |
Siblings and parents |
Number |
1 u |
1 u + 2 |
Value |
11.60 |
14.80 |
Total Value |
11.60 u |
14.80 u + 29.60 |
Number of souvenirs that Gabby bought for her siblings = 1 u
Amount that Gabby spent on the souvenirs for her siblings
= 1 u x 11.60
= 11.60 u
Amount that $(Lizy) spent if she bought for her parents
= 19 + 33
= $52
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
= 14.80(1 u + 2)
= 14.80 u + 29.60
11.6 u + 52 = 14.80 u + 29.60
14.80 u - 11.6 u = 52 - 29.60
3.2 u = 22.40
1 u = 22.40 ÷ 3.2 = 7
Number of souvenirs that she bought for her siblings
= 1 u
= 7
Answer(s): 7