College

Working her way through school, Liz works two part-time jobs for a total of 38 hours a week. Job A pays $5.90 per hour, and Job B pays $7.50 per hour. How many hours did she work at each job the week that she made $253.00? (Round to two decimal places if necessary.)

Answer :

Liz worked 18.75 hours at Job A and 19.25 hours at Job B that week.

To solve this problem

We can use the substitution method.

From the first equation, we can solve for x in terms of y:

x=38-y

Substituting this expression for x into the second equation, we get:

5.9(38-y)+7.5y=253.00

Simplifying this equation, we get:

222.2-5.9y+7.5y=253.00

Combining like terms, we get:

1.6y=30.8

Dividing both sides by 1.6, we get:

y=19.25

Substituting this value of y back into the first equation, we get:

x=38-19.25

x=18.75

Therefore, Liz worked 18.75 hours at Job A and 19.25 hours at Job B that week.

Learn more about substitution method here : brainly.com/question/30239223

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