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.