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Bright Blocks toy company sells sets of building blocks. The Beginner Builder set has 40 large blocks and 25 small blocks. The Mega Maker set has the same ratio of large blocks to small blocks, but it comes with 100 small blocks.
How many large blocks are in the Mega Maker set?
To find the number of large blocks in the Mega Maker set, we need to compare the ratio of large blocks to small blocks in both sets.
In the Beginner Builder set, the ratio of large blocks to small blocks is 40:25.
Since the Mega Maker set has the same ratio of large blocks to small blocks, we can set up a proportion to find the number of large blocks.
Let x be the number of large blocks in the Mega Maker set.
The proportion is:
40/25 = x/100
Cross-multiplying, we get:
40 * 100 = 25 * x
4000 = 25x
Dividing both sides by 25, we find:
x = 4000/25
x = 160
Therefore, there are 160 large blocks in the Mega Maker set.