Question

Two mechanics worked on a car. The first mechanic worked for
5
hours, and the second mechanic worked for
15
hours. Together they charged a total of
$1275
. What was the rate charged per hour by each mechanic if the sum of the two rates was
$155
per hour?

Answer 1

Help Please.

Answer 2

@optiquest Help Please

Answer 3

5*m1 + 15*m2 = 1275
m1+m2 =155

m1,m2 are rates for each mechanic

Answer 4

@optiquest I dont understand

Answer 5

The first mechanic worked for 5 hours
mechanic 1 rate times 5 hours

second mechanic worked for 15 hours.
mechanic 2 times 15 hours

Together they charged a total of $1275
mechanic 1 rate times 5 hours + mechanic 2 times 15 hours = $1275

Answer 6

What was the rate charged per hour by each mechanic if the sum of the two rates was
$155 per hour?

mechanic 1 rate + mechanic 2 rate = $155


this is a system of two equations which you need to solve

Answer 7

5f + 15s = 1,275
f + s = 155

You have to solve for 2 unknowns so you need 2 equations.

Answer 8

@wolf1728 so I solve for s?

Answer 9

is it 275? for the first and

Answer 10

You need to find f and s
Do you know how to solve these equations?
No it is NOT 275 for the first

Answer 11

@wolf1728 No, I don't

Answer 12

You need to eliminate 1 of the unknowns first.
A) 5f + 15s = 1,275
B) f + s = 155

Multiply Equation B by -5 and so we get
A) 5f + 15s = 1,275
B) -5f -5s = -775

Next we add both equations giving
10s = 500

s = 50

Answer 13

@wolf1728 after this then what do I do?

Answer 14

Now that the value of s has been found, you next solve for f.

Answer 15

so plug in 50 for both

Answer 16

@FlashBT3

Answer 17

no -
f + s = 155
so if s=50 then f= what?

Answer 18

55

Answer 19

f +50 = 155
So, f = ?

Answer 20

105

Answer 21

Yes

Answer 22

ok

Answer 23

Listen to @wolf1728

Answer 24

he know what he is talking about.

Answer 25

So first mechanic is 50 and second is 105

Answer 26

thanks flash

Answer 27

@wolf1728

Answer 28

yes you are correct