HELP!! Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 5 hours. Together they charged a total of 2375. What was the rate charged per hour by each mechanic if the sum of the two rates was 160 per hour?

Step-by-step explanation:

Let r represent the rate charged by the first mechanic. Then 160-r is the rate charged by the second mechanic. The total of charges is ...

  20r +5(160-r) = 2375

  15r +800 = 2375 . . . . . . eliminate parentheses

  15r = 1575 . . . . . . . . . . . . subtract 800

  r = 105 . . . . . . . . . . . . . . . divide by 15. First mechanic's rate.

  160-r = 55 . . . . . Second mechanic's rate

The first mechanic charged $105 per hour; the second, $55 per hour.

the rate charged per hour by the first mechanic is 105 per hour.

the rate charged per hour by the second mechanic is 55 per hour.

Step-by-step explanation:

Let x represent the rate charged per hour by the first mechanic.

Let y represent the rate charged per hour by the second mechanic.

The first mechanic worked for 20 hours, and the second mechanic worked for 5 hours. Together they charged a total of 2375. This means that

20x + 5y = 2375 - - - - - - - - - - -1

if the sum of the two rates was 160 per hour, it means that

x + y = 160

Substituting x = 160 - y into equation 1, it becomes.

20(160 - y) + 5y = 2375

3200 - 20y + 5y = 2375

- 20y + 5y = 2375 - 3200

- 15y = - 825

y = - 825/ - 15

y = 55

x = 160 - y = 160 - 55

x = 105

i think it would be 43 movies that would have to be watched.

step-by-step explanation:

think about it. for the second plan, every month is 8 dollars. 8 x 12= 96. so thats the number for the second plan. now for the first plan, its annual meaning you have to pay 10 dollars every year. so now you have to get an equivalent amount of 86 since 96-10=86. 86 divided by 2 since every movie costs 2$ then you would have to watch 43 movies a year to get the same as the second plan. i really hoped this . have a wonderful day as well!

step-by-step explanation:

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