You are remodeling your kitchen. You've contacted two tiling companies who gladly told you how long it took their workers to til
e 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
x - Jim's rate y - Pete's rate <span>Jim completed half the floor in 7 hours: 7x = half of the floor </span><span>Pete completed the other half of the floor in 6 hours: 6y = half of the floor So: 7x = 6y
</span><span>Pete can lay 15 more tiles per hour than Jim: y = x + 15
</span>7x = 6y y = x + 15
Substitute the second equation into the first one: 7x = 6(x + 15)