At a gift shop, the number of $2 gift packs, $5 gift packs and $10 gift packs were in the ratio of 16:9:7. 1/8 of the $2 gift packs and 34 of the $5 gift packs were sold. The remaining gift packs were worth $1975. How many of the $10 gift packs were there?
+237 Let No. of $2 gift packs = 16x
No. of $5 gift packs = 9x
No. of $10 gift packs = 7x
1/8 of $2 gift packs = 1/8 * 16x = 2x.
Total gift packs = 16x + 9x + 7x
= 32x
Total sold gift packs = 1/8 of $2 and 34 of $5
= (8x + 34)
remaining gift packs = Total - Sold
= 32x - (8x + 34)
= (30x - 34)
Remaining gift packs -----> $2 ---> 14x
$5 ---> 9x - 34
$10 ---> 7x
Value of $2 gift box = (14x * 2) = $28x
Value of $5 gift box = 5(9x - 34) = $(45x - 170)
Value of $10 gift box = 10(7x) = $70x
Total remaining value = $(28x + 45x - 170 + 70x)
1975 = (143x - 170) dollars
2145 = 143x
=> x = 15
No. of $10 gift packs = 7x
= 7 * 15
No. of $10 gift packs = 105
