Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours. Together they charged a total of $3275. What was the rate charged per hour by each mechanic if the sum of the two rates was $180 per hour?

The rate charged per hour by each mechanic are $115 per hour and $65 per hour

Step-by-step explanation:

Let x be the rate charged per hour by first mechanic

Let y be the rate charged per hour by second mechanic

Cost for first worker working for 20 hours = 20x

Cost for second worker working for 15 hours = 15y

We are given that . Together they charged a total of $3275.

So, 20x+15y=3275  1

We are also given that the sum of the two rates was $180 per hour

So, x+y=180   2

Substitute the value of x form 2 in 1

20(180-y)+15y=3275

y=65

Substitute the value of y in 2

x+65=180

x=180-65

x=115

Hence the rate charged per hour by each mechanic are $115 per hour and $65 per hour

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl