Question

Sarah and Jordan are shopping for knitting supplies. Sarah wants 6 balls of yarn and 2 sets of knitting needles. Jordan wants 1 ball of yarn and 3 sets of knitting needles. Each ball of yarn costs $6.25. If their total cost is $54.60, what is the cost of 1 set of knitting needles?

a) $2.17
b) $1.17
c) $4.17
d) $3.17

Answer 1

To find the cost of 1 set of knitting needles, subtract the cost of the yarn from the total cost and then divide by the number of sets. The cost of 1 set of knitting needles is $2.17.

Step-by-step explanation:

To find out the cost of 1 set of knitting needles, we need to determine the total cost of knitting needles and then divide it by the number of sets Jordan wants. Sarah wants 2 sets of knitting needles and Jordan wants 3 sets, so the total number of sets of knitting needles they want is 2 + 3 = 5.

Since the total cost is $54.60 and each ball of yarn costs $6.25, we can subtract the cost of all the yarn from the total cost to find the cost of the knitting needles. Sarah wants 6 balls of yarn and Jordan wants 1 ball, so the total cost of the yarn is (6 + 1) * $6.25 = $43.75.

Now we can find the cost of 5 sets of knitting needles by subtracting the cost of the yarn from the total cost: $54.60 - $43.75 = $10.85. Finally, we divide this cost by the number of sets of knitting needles: $10.85 / 5 = $2.17. Therefore, the cost of 1 set of knitting needles is $2.17.