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Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends StartFraction 1 Over 15 EndFractionof her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been StartFraction 1 Over 10 EndFraction of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?

Respuesta :

purnima290307

Answer:

Let

y--------> cost of the dinner with friends

h--------> the number of hours Lindsay worked last week

we know that

y =\frac{1}{15} *( 10h+60)y=

15

1

∗(10h+60) ------> equation 11

y =\frac{1}{10} *( 10h)y=

10

1

∗(10h) ------> equation 22

equate equation 11 and equation 22

\begin{gathered} \frac{1}{15} *( 10h+60)=\frac{1}{10} *( 10h)\\\\ Multiply\ by\ 150\ both\ sides\\\\ 10*(10h+60)=15*10h\\\\ 100h+600=150h\\\\150h-100h=600\\\\ h=\frac{600}{50} \end{gathered}

15

1

∗(10h+60)=

10

1

∗(10h)

Multiply by 150 both sides

10∗(10h+60)=15∗10h

100h+600=150h

150h−100h=600

h=

50

600

h= 12\ hoursh=12 hours

therefore

the answer is

Lindsay worked 12\ hours12 hours last week

The equation that can be used to find the number of hours is

\frac{1}{15} *( 10h+60)=\frac{1}{10} *( 10h)

15

1

∗(10h+60)=

10

1

∗(10h)

raphealnwobi

Lindsay worked for about 120 hours last week.

What is an equation?

An equation is used to show the relationship between two or more variables and numbers.

Let h represent the number of hours Lindsay worked last week, hence:

(1/15)(10h + 600) = (1/10)(10h)

40h + 2400 = 60h

h = 120 hours

Lindsay worked for about 120 hours last week.

Find out more on Equation at: https://brainly.com/question/2972832

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