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Fofino [41]
3 years ago
14

Giselle works as a carpenter and as a blacksmith. She earns \$20$20 per hour as a carpenter and \$25$25 per hour as a blacksmith

. Last week, Giselle worked both jobs for a total of 3030 hours, and earned a total of \$690$690. How long did Giselle work as a carpenter last week, and how long did she work as a blacksmith?
Mathematics
1 answer:
zloy xaker [14]3 years ago
8 0

Answer:

Giselle worked 18 hours as blacksmith and 12 hours as carpenter.

Step-by-step explanation:

Let C be the number of hours Giselle works as carpenter and B represent the number of hours Giselle works as blacksmith.

We have been given that last week, Giselle worked both jobs for a total of 30 hours. We can represent this information in an equation as:

B+C=30...(1)

We are also told that she earns $25 per hour as a blacksmith, so so amount earned in B hours will be 25B.

As Giselle earns $20 per hour as a carpenter, so amount earned in C hours will be 20C.

Since she earned a total of $690 last week by doing both jobs, we can represent this information in an equation as:

25B+20C=690...(2)

We will use substitution method to solve our system of linear equations.

From equation (1) we will get,

C=30-B

Substituting this value in equation (2) we will get,

25B+20(30-B)=690

25B+600-20B=690

25B+600-600-20B=690-600

25B-20B=690-600

5B=90

\frac{5B}{5}=\frac{90}

B=18

Therefore, Giselle worked 18 hours as blacksmith.

Upon substituting B=18 in equation (1) we will get,

18+C=30

18-18+C=30-18

C=12

Therefore, Giselle worked 12 hours as carpenter.

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<h3>How to solve equations?</h3>

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

In other words, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

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