Fran brings home $225 per week working 15 hours of which she is able to save $40. Fran wants to have $1,400 saved at the end of 20 weeks. She may work up to 18 hours per week if she wants. She can save all of the money earned working the extra hours. Which of the following statements is true?
a.
Fran will meet her goal working 15 hours per week.
b.
Fran must work 17 hours per week to meet her goal.
c.
Fran must work 18 hours per week to meet her goal.
d.
Fran will not be able to reach her goal.

Respuesta :

The correct answer for the given problem above would be option B. Fran must work 17 hours per week to meet her goal. Why? According to the given details above, Fran works 15 hours per week for $225 which makes it $15 per hour. If she adds another 2 hours per week to make it 17 hours, then she will earn $255 dollars per week. Now, since she is saving $40 dollars plus the two hours which is $30, a total of $70 per week of savings, multiplied by 20 weeks, then, she will be able to get $1,400.

Based on the number of hours Fran works and the amount she saves, the true statement is that b. Fran must work 17 hours per week to meet her goal.

What should Fran do to reach her target?

If Fran wants to save $1,400 after 20 weeks, the amount she should save weekly is:

= 1,400 / 20

= $70 per week

Her current wage rate is:

= 225 / 15

= $15 an hour

She currently saves $40 and can keep any amount she works over 15 hours. The number of hours she then needs to work over 15 hours is:

= (Target savings - Current savings) / Wage per hour

= (70 - 40) / 15

= 2 hours

Add this to her current hours:

= 15 + 2

= 17 hours per week

Find out more on calculating wage rates at https://brainly.com/question/23469573.

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