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?
Question
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?
Solution
To solve this problem, we need to find the ratio of large blocks to small blocks in the Beginner Builder set.
Step 1: Find the ratio in the Beginner Builder set The Beginner Builder set has 40 large blocks and 25 small blocks. So, the ratio of large blocks to small blocks is 40:25.
Step 2: Simplify the ratio We can simplify this ratio by dividing both numbers by their greatest common divisor, which is 5. So, the simplified ratio is 8:5. This means for every 5 small blocks, there are 8 large blocks.
Step 3: Apply the ratio to the Mega Maker set The Mega Maker set comes with 100 small blocks. We need to find out how many large blocks there are. Since the ratio is 8 large blocks for every 5 small blocks, we can set up a proportion to solve for the number of large blocks (x):
8/5 = x/100
Step 4: Solve for x Cross-multiply to solve for x:
8 * 100 = 5 * x 800 = 5x
Then divide both sides by 5 to solve for x:
x = 800 / 5 x = 160
So, the Mega Maker set has 160 large blocks.
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