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

Respuesta :

calculista

Let

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

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

we know that

[tex] y =\frac{1}{15} *( 10h+60) [/tex] ------> equation [tex] 1 [/tex]

[tex] y =\frac{1}{10} *( 10h) [/tex] ------> equation [tex] 2 [/tex]

equate equation [tex] 1 [/tex] and equation [tex] 2 [/tex]

[tex] \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} [/tex]

[tex] h= 12\ hours [/tex]

therefore

the answer is

Lindsay worked [tex] 12\ hours [/tex] last week

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

[tex] \frac{1}{15} *( 10h+60)=\frac{1}{10} *( 10h) [/tex]

Answer:

a

Step-by-step explanation:

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