Erin weighs 135 pounds and is gaining ½ pound each week. Miranda weighs 143 pounds and is losing ¼ pound each week. Write an equation that could be used to determine x, the number of weeks that it will take until the two girls weigh the same amount?

Step-by-step explanation:

Number of weeks is x

Step-by-step explanation:

Let E represent Erin’s weight, and let M reprevent Miranda’s weight.

And let x represent the amount of week that passes.

Eric is currently 135 pounds. However, she is gaining 1/2 pounds per week x.

Hence, we can write the following equation:

Miranda currently weights 143 pounts. However, she is losing 1/4 pounds per week x.

Since she is losing weight, 1/4 is negative. Hence:

When the two girls weigh the same, D=M. Thus:

Substitute them for their respective equations to acquire:

Notes:

To solve, first eliminate the fractions by multiplying everything by 4. This yields:

Add x to both sides. Subtract 540 from both sides:

Divide both sides by 3:

Hence, it will take about 11 weeks for the girls to weigh the same.

6mm^3 or .6cm^3

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  36     6

  /   \     /

6     6   6

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