Marc and Aki are building hot wheels tracks. Marc has 4-inch pieces to make his track, and Aki has 10-inch pieces to make his track. How long will their tracks be when they are first the same length? (1 point)

1 answer

The lengths of their tracks will be the same when the total number of 4-inch pieces Marc has used is equal to the total number of 10-inch pieces Aki has used. To find the number of pieces, divide the total length of each track by the length of each piece.

Let's call the number of 4-inch pieces Marc has used M, and the number of 10-inch pieces Aki has used A.

Marc's track length in inches is 4M.
Aki's track length in inches is 10A.

Now we need to find a common value of M and A where 4M = 10A.

The smallest common value for M and A is 10.

So, Marc's track length will be 4 * 10 = 40 inches
and Aki's track length will be 10 * 10 = <<10*10=100>>100 inches.

Therefore, their tracks will have the same length when they are both 40 inches long.