Question

Jamal placed two orders with an internet clothing store. The first order was for 13 ties () and 4 pairs of suspenders (), and totaled $487. The second order was for 6 ties and 2 pairs of suspenders, and totaled $232. The bill does not list the per-item price, but all ties have the same price and all suspenders have the same price.Write a system of equatoins to represent the situation. What is the cost of one tie and of one pair of suspenders? DO NOT include spaces, dollar signs, or cents in your answer! Hint: The total goes in the last space of the equation.

Answer 1

Given:

Jamal placed two orders with an internet clothing store. The first order was for 13 ties () and 4 pairs of suspenders (), and totaled $487. The second order was for 6 ties and 2 pairs of suspenders, and totaled $232.

Required:

Write a system of equations to represent the situation. What is the cost of one tie and of one pair of suspenders?

Step-by-step explanation:

First order =

13t + 4s = 487

Second order

6t + 2s = 232

13t + 4s = 487...(1)

6t + 2s = 232...(2)

Multiply (2) by 2

12t + 4s = 464...(2b)

13t + 4s = 487

12t + 4s = 464

Subtract

12t - 10t = 487 - 464

t = $23

Substitute t = 23

13t + 4s = 487

13(23) + 4s = 487

299 + 4s = 487

4s = 487 -299

4s = 188

s = 188 / 4

= 47

s= $47

Answer:

Hence, question is solved.