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)
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.