If Bill can buy 3 pairs of jeans and 2 shirts for $69 or 2 pairs of jeans and 3 shirts for $71, how ...

If Bill can buy 3 pairs of jeans and 2 shirts for $69 or 2 pairs of jeans and 3 shirts for $71, how much does one shirt cost?

Answer/Solution

$15

Steps/Work

3J + 2S = 69
2J + 3S = 71
----------------
5J + 5S = 140 ----(divide by 5)---> J + S = 28
3J + 2S = J + 2(J + S) = J + 56 = 69 ---> J = 13
3*13 + 2S = 69
39 + 2S = 69
2S = 30
S = 15
Answer: D

General Calculator / Auto Solver

If bill can buy pairs of jeans and shirts for $ or pairs of jeans and shirts for $ , how much does one shirt cost?

Calculated Answer

Step by Step Solution

In order to solve problem, you must evaluate (n₀ * n₅ - n₁ * n₂) / (n₀ * n₀ - n₁ * n₁).

n₀ =	3
n₁ =	2
n₂ =	69
n₃ =	2
n₄ =	3
n₅ =	71

(n₀ * n₅ - n₁ * n₂) / (n₀ * n₀ - n₁ * n₁)
Evaluate n₀ * n₅ = 213
(213 - n₁ * n₂) / (n₀ * n₀ - n₁ * n₁)
Evaluate n₁ * n₂ = 138
(213 - 138) / (n₀ * n₀ - n₁ * n₁)
Evaluate 213 - 138 = 75
75 / (n₀ * n₀ - n₁ * n₁)
Evaluate n₀ * n₀ = 9
75 / (9 - n₁ * n₁)
Evaluate n₁ * n₁ = 4
75 / (9 - 4)
Evaluate 9 - 4 = 5
75 / 5
Evaluate 75 / 5 = 15
15
The answer to the problem and the result of (n₀ * n₅ - n₁ * n₂) / (n₀ * n₀ - n₁ * n₁) is 15

Quiz

Answer/Solution

Steps/Work

General Calculator / Auto Solver

Calculated Answer

Step by Step Solution