+0

# Help me

0
237
1

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?

May 10, 2022

### 1+0 Answers

#1
+237
+1

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

May 10, 2022