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?

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

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

According to question,

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

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3