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Tatiana [17]
3 years ago
8

Matteo is working two jobs, making $15 per hour at the movie theater and $18 per hour washing cars. Last week Matteo worked a to

tal of 30 hours and earned a total of $480. Determine the amount of hours Matteo worked at the movie theater and the cash wash.
Mathematics
1 answer:
worty [1.4K]3 years ago
7 0

Answer:

movie theatre = 20 hours

car wash = 10 hours

Step-by-step explanation:

this would be solved using simultaneous equation

let a = hours worked in theatre

b = hours spent wash cars

15a + 18b = 480 eqn 1

a + b = 30      eqn 2

multiply eqn 2 by 15

15a + 15b = 450 eqn 3

subtract 1 from 3

3b = 30

b = 10 hours

substitute for b in eqn 2

a + 10 = 30

a = 20 hours

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Answer:

  $7.14

Step-by-step explanation:

Let p, d, q represent the numbers of pennies, dimes, and quarters in the collection, respectively.

  p + d + q = 45 . . . . . . . . there are 45 coins in the collection

  2p +5 = q . . . . . . . . . . . . 5 more than twice the number of pennies

  p + 4 = d . . . . . . . . . . . . . 4 more than the number of pennies

Substituting the last two equations into the first gives ...

  p +(p +4) +(2p +5) = 45

  4p = 36 . . . . . . . . . . . . . subtract 9

  p = 9 . . . . . . . . . . . divide by 4

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The value of the collection is ...

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222 ..........................................
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