Chapter 4.1, Problem 65E

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7th Edition

Stefan Waner + 1 other

ISBN: 9781337274203

Textbook Problem

**Pollution** Joe Slo, a college sophomore, neglected to wash his dirty laundry for 6 weeks. By the end of that time, his roommate had had enough and tossed Joe's dirty socks and T-shirts into the trash, counting a total of 44 items. (A pair of dirty socks counts as one item.) The roommate noticed that there were three times as many pairs of dirty socks as T-shirts. How many of each item did he throw out?

To determine

**To calculate:** The number of items, dirty socks and T-shirts, Joe Slo’s roommate threw out in the trash, if Joe Slo, a college sophomore was not want to wash his dirty laundry for

Explanation

**Given Information:**

Joe Slo, a college sophomore was not want to wash his dirty laundry for

**Formula used:**

Elimination method:

Step 1: Consider the linear equations in two variables.

Step 2: The equations are multiplied with suitable non-zero numbers to convert the coefficients to equals of opposite signs.

Step 3: The equations are combined to eliminate one variable, and the value of the other variable is calculated.

Step 4: Substitute the value of the calculated variable into one of the equations and calculate the value of the other variable.

**Calculation:**

Consider the problem,

Let *x* be the number of pairs of dirty socks and *y* be the number of dirty T-shirts.

There were three times as many pairs of dirty socks as T-shirts.

Thus,

Rewrite

Also, if Joe Sloās roommate threw out *x* pairs of dirty socks and *y* dirty T-shirts, then total number of dirty clothes he threw was

Thus,

Consider the equations,

Multiply equation (2) by

Sect-4.1 P-1ESect-4.1 P-2ESect-4.1 P-3ESect-4.1 P-4ESect-4.1 P-5ESect-4.1 P-6ESect-4.1 P-7ESect-4.1 P-8ESect-4.1 P-9ESect-4.1 P-10E

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