Sean has 8-inch pieces of toy train track and Ruth has 18-inches of train track. How many of each piece would each child need to build tracks that are equal in length?
Let's look at the multiples of 18.
18, 36, 48, 72, 90
Which of those is also a multiple of 8?
72 pieces of toy train track
the answer is 72
18 is not a multiple of 8.
It’s 48 but also could be 72
It's 72
use continuous division LCM
2| 8 18
———
4 9
so if you times
2×4×9=72
so the answer is 72
To find the number of each piece that Sean and Ruth need to build tracks of equal length, we can set up an equation:
Let's assume that Sean needs x pieces of the 8-inch track, and Ruth needs y pieces of the 18-inch track.
The total length of the track for Sean would be 8 * x inches, and the total length of the track for Ruth would be 18 * y inches.
Since we want the tracks to be equal in length, we can set up the equation:
8 * x = 18 * y
Now, let's reorganize the equation to solve for x:
x = (18 * y) / 8
We can further simplify the equation by dividing 18 and 8 by their greatest common divisor (GCD), which is 2:
x = (9 * y) / 4
This means that for every 4 pieces of the 8-inch track that Sean has, Ruth would need 9 pieces of the 18-inch track to have equal track lengths.
mine was wrong .-. it said 18...
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Group of answer choices