The shortest possible height of the tower is 24 cm
They used 4 blue blocks and 3 green blocks
Step-by-step explanation:
Tim and his brother are building towers out of blocks
- Tim is using blue blocks that are 6 cm tall
- His brother is using green blocks that are 8 cm tall
- They both made towers the same height
We need to find the shortest possible height of the tower and how many of each color block they used
∵ Tim is using blue blocks that are 6 cm tall
∴ The height of his tower is a number divisible by 6
∵ His brother is using green blocks that are 8 cm tall
∴ The height of his tower is a number divisible by 8
∵ The heights of their towers are equal
∴ The height of the towers must be a number divisible by 6 and 8
Let us write some multiples of 6 and 8 to find the first common multiple of them
∵ The multiples of 6 are 6 , 12 , 18 , 24 , 30 , 36 , .........
∵ The multiples of 8 are 8 , 16 , 24 , 32 , 40 , .............
∵ The first common multiple of them is 24
∴ The shortest possible height of the tower is 24 cm
∵ The height of each blue block is 6 cm
- Divide the height of the tower by the height of the block to
find the number of blue blocks
∵ 24 ÷ 6 = 4
∴ Time is using 4 blue blocks
∵ The height of each green block is 8 cm
- Divide the height of the tower by the height of the block to
find the number of green blocks
∵ 24 ÷ 8 = 3
∴ His brother is using 3 green blocks
The shortest possible height of the tower is 24 cm
They used 4 blue blocks and 3 green blocks
Learn more:
You can learn more about the word problems in brainly.com/question/6569012
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