Question

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 of 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, what equation would you use to find the rate that Jim can lay tiles? Let x represent Jim's rate.

explain why the answer is correct

Answer 1

lets call jim's rate x and petes rate y. that means jim lay's 'x' tiles per hour and pete lays y tiles per hour

Answer 2

ok, now we have two variables x and y.
from the info given in the question, we can write two equations for x and y

Answer 3

from the question, we know that the number of tiles jim can lay in 7hrs is equal to the number of tiles pete can lay in 6hrs
thus
7x=6y

Answer 4

but it also says, pete is faster by 15 tiles per hour
thus
y=x+15

Answer 5

substiute y=x+15 in the first equation to get the answer

Answer 6

@Jacob902

Answer 7

u understood how I got the answer?