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Anna11 [10]
3 years ago
8

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 12 hours . Pete completed the other half in 10 hours. If Pete can lay 25 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
Mathematics
2 answers:
natima [27]3 years ago
5 0

Answer:

12x=10(x+25)

Step-by-step explanation:

apex

Papessa [141]3 years ago
4 0

As given, let Jim's rate = x

Let Pete's rate =y

Jim completed half the floor in 12 hours so it's 12\times rate= 12x 

Pete completed the other half of the floor in 10 hours so its 10\times rate=10y

As floor area is equal so,

12x=10y .............(1)

Now, given is that Pete can lay 25 more tiles per hour than Jim, this gives=

y=x+25 ...... (2)

Putting the value of y from equation (2) in equation (1) , we get

12x=10(x+25)

So, the equation is : 12x=10(x+25)

If you want to solve it, it becomes:

12x=10x+250

2x=250

x=125

Hence, Jim can lay 125 tiles and Pete can lay 25 more so 125+25=150 tiles.



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