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?
____ large blocks.

Explanation:

Step1: Define ratio for Beginner set

The ratio of large to small blocks is $\frac{40}{25}$.

Step2: Simplify the ratio

Simplify the fraction: $\frac{40}{25} = \frac{8}{5}$.

Step3: Set up equation for Mega set

Let $x$ = number of large blocks in Mega set. The ratio equals $\frac{x}{100}$, so:
$$\frac{8}{5} = \frac{x}{100}$$

Step4: Solve for $x$

Multiply both sides by 100:
$x = \frac{8}{5} \times 100 = 8 \times 20 = 160$

Answer:

160 large blocks