Question

Linear equation story problem:
You are remodeling your kitchen. You've contacted two tiling companies who gladly told you how long it took their workers to tile a floor with a similar size. Jim completed half the floor in 7 hours. Pete completed the other half of the floor in 6 hours. If Pete can lay 15 more tiles per hour than Jim at what rate can Jim lay tiles? Let x represent Jim's rate.

The answer is an equation.

Answer 1

@TheSmartOne Could you help?

Answer 2

You still need help?

Answer 3

Yes please!

Answer 4

Everyone learns at different paces, some problems seem simple to others, others find simple problems a little harder.

Answer 5

I'm here to help, lets get started.

Answer 6

This question is asking you to write an equation representing the rate of 2 people, they already got 1 person represented as a letter, can you tell me which one it is?

Answer 7

Jim

Answer 8

what is representing jims rate?

Answer 9

x

Answer 10

Ok so thats the first step of the equation.

Answer 11

We need to let Pete represent something too, so lets use Pete as Y.

Answer 12

Okay

Answer 13

Lets use \[y=x+15 \] as a starting equation to get to the final answer

Answer 14

Y representing Pete, x representing Jim and 15 representing the "if" factor

Answer 15

Do you understand?

Answer 16

Yes that makes sense.

Answer 17

Ok next parts, we are almost done.

Answer 18

The number of tiles Jim can lay in 7hrs is equal to the number of tiles Pete can lay in 6hrs.

Answer 19

In an equation we could use that being said as 7x=6y, so if you use y=x+15 inside of 7x=6y you will get the answer.

Answer 20

Do you want me to walk you through how to do it or do you know how to?

Answer 21

Hmm. So would it be like 7x=6(y+15) ?

Answer 22

Correct!

Answer 23

Yay!!! Thanks so much for your help.