Jillian and Tyson are shopping for knitting supplies. Jillian wants 3 balls of yarn and 1 set of knitting needles. Tyson wants 1 ball of yarn and 2 sets of knitting needles. Each ball of yarn costs $6.25 . If their total is $34.60, what is the cost of 1 set of knitting needles?

Respuesta :

Answer: Cost of each set of knitting needles is $3.2.

Explanation:

Since we have given that

Number of balls of yarn Jillian wants=3

Number of set of knitting needles Jillian wants = 1

Number of balls of yarn Tyson wants = 1

Number of sets of knitting needles Tyson wants = 2

Cost of 1 ball of yarn = $6.25

So, total amount incurred on balls of yarn is given by

[tex]3\times 6.25+1\times 6.25=6.25(3+1)=6.25\times 4 = \$25[/tex]

Now, let the cost of each set of knitting needles be x

According to question,

[tex]25+x+2x=\$34.60\\\\25+3x=\$34.60\\\\3x=34.60-25=9.6\\\\x=\frac{9.6}{3}=\$3.2[/tex]

Hence, cost of each set of knitting needles is $3.2.