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Chapter 3: Q. 14 (page 315)

In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question.

Erica earned a total of \(50,450 last year from her two jobs. The amount she earned from her job at the store was \)1,250 more than three times the amount she earned from her job at the college. How much did she earn from her job at the college?

Short Answer

Expert verified

Erica earned$12,300from her job at the college.

Step by step solution

01

Step 1. Given Information 

We are given that Erica earned $50,450from her two jobs.

We have to find the amount she earn from her job at the college.

02

Step 2. Forming the equation 

Let the amount she earn from her job at the college be xand the amoun she earns from store bey,

So, the equation will be,

x+y=$50,450……(1)y=3x+$1,250……(2)

03

Step 3. Solving the equation 

Putting the value of yin first equation, we get

x+3x+1,250=50,4504x+1,250=50,450

Subtracting 1250from both sides, we get

4x=50,450-1,2504x=49200

Dividing by 4,

x=492004x=$12,300

Hence, she earned $12,300from her job at the college.

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