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amid [387]
3 years ago
15

Lee worked a total of 30 hours at two jobs last week her combined pay from the jobs was $240 she earned $9 per hour working at t

he movie theater and $6 per hour working in her aunt's store. How many hours did she spend working in her aunt's store last week?
Mathematics
1 answer:
Sonja [21]3 years ago
3 0

Answer:she spent 10 hours working in her aunt's store last week.

Step-by-step explanation:

Let x represent the number of hours that Lee spent working at the movie theater.

Let y represent the number of hours that Lee spent working at her aunt's store.

Lee worked a total of 30 hours at the movie theater and her aunt's store. This means that

x + y = 30

Her combined pay from the jobs was $240. She earned $9 per hour working at the movie theater and $6 per hour working in her aunt's store. This means that

9x + 6y = 240 - - - - - - - - - -1

Substituting x = 30 - y into equation 1, it becomes

9(30 - y) + 6y = 240

270 - 9y + 6y = 240

- 9y + 6y = 240 - 270

- 3y = - 30

y = - 30/ - 3 = 10 hours

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The equation represents the total liters of acid that are needed is,

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<h3>What is allegation?</h3>

Allegation is a method to find the ratio in which two or more indignant are mixed to produce a mixture or solution.

Given information-

A scientist needs 10 L of a solution that is 60% acid.

The percentage of two acid solution are 50% and 90%.

Variable<em> x</em><em> </em>represent the number of liters of the 50% solution.

Variable<em> y </em>represent the number of liters of the 90% solution.

Quantity of acid from 50% solution is 0.5x liters, and quantity of acid from 90% solution is 0.9x liters.

As the scientist needs 10 L of a solution that is 60% acid. Therefore the quantity of acid in 60 percent acid solution is,

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Hence the equation represents the total liters of acid that are needed is,

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Thus the option 3 is the correct option.

Learn more about the mixture and allegation  here;

brainly.com/question/24372098

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