High School

Write this statement as an equation and solve:

Joan is paid 1.5 hours for every hour she works on Saturday and 2 hours for every hour worked on Sunday. She is paid regular time for the rest of the week. How many hours will she be paid for if she works 40 hours during the week, 8 hours on Saturday, and 6 hours on Sunday?

Answer :

Answer:

She will be paid for 96 hours

(the payment corresponds to work of 96 hours during weekdays)

Step-by-step explanation:

we have to find out the number of hours the compensation/payment corresponds to.

Now,

for the weekdays,

1 hour of work counts for 1 hour of payment

For saturday,

1 hour of work counts for 11/2 hours of payment

and for Sunday

1 hour of work counts for 2 hours of payment.

This gives the equation,

P = x + (11/2)y + 2z

where x is the number of hours Joan works on weekdays,

y is the number of hours they work on Saturday

z is the number of hours they work on Sunday

Now,

in our case,

x = 40

y = 8

z = 6

then,

P = 40 + (11/2)(8) + 2(6)

P = 96 hours

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