Gwen bought some souvenirs for her siblings at an average price of $11.80. If Gwen decided to buy a pen which cost $12 for her father and a bag which cost $46 for her mother, the average price of the souvenirs would become $16.10. How many souvenirs did Gwen buy for her siblings?
| |
Siblings |
Siblings and parents |
| Number |
1 u |
1 u + 2 |
| Value |
11.80 |
16.10 |
| Total Value |
11.80 u |
16.10 u + 32.20 |
Number of souvenirs that Gwen bought for her siblings = 1 u
Amount that Gwen spent on the souvenirs for her siblings
= 1 u x 11.80
= 11.80 u
Amount that $(Lizy) spent if she bought for her parents
= 12 + 46
= $58
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
= 16.10(1 u + 2)
= 16.10 u + 32.20
11.8 u + 58 = 16.10 u + 32.20
16.10 u - 11.8 u = 58 - 32.20
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
