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A salesperson works 3 days perweek. She earns 1/3 of her pay on monday and 1/4 on tuesday. How much of her pay does she earn on wednesday?

User Keirbtre
by
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1 Answer

3 votes

Answer:

5/12

Explanation:

Let's assume the salesperson's pay for the week is represented by the variable "P."

According to the given information:

She earns 1/3 of her pay on Monday, which is (1/3) * P.

She earns 1/4 of her pay on Tuesday, which is (1/4) * P.

To find out how much she earns on Wednesday, we need to determine the remaining portion of her pay for the week after Monday and Tuesday:

Remaining pay = Total pay - Monday's pay - Tuesday's pay

Remaining pay = P - (1/3) * P - (1/4) * P

Now, we need to find a common denominator for 3 and 4, which is 12:

Remaining pay = P - (4/12) * P - (3/12) * P

Remaining pay = P - (4/12 + 3/12) * P

Remaining pay = P - (7/12) * P

Now, let's calculate the pay she earns on Wednesday:

Wednesday's pay = Remaining pay = (1 - 7/12) * P

Wednesday's pay = (5/12) * P

So, the salesperson earns 5/12 of her pay on Wednesday.

User Nate Levin
by
8.4k points
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