Question

nico is cutting a block of cheese that is 17 1/2 inches long into slices that are 1/8 inch thick. he puts the slices in bags of 10 slices each. how many bags can nico make with all of the cheese? a) 14 bags b) 21 bags c) 80 bags d) 140 bags

Explanation:

Step1: Find total number of slices

First, we need to find how many slices of thickness $\frac{1}{8}$ inch can be made from a block of length $17\frac{1}{2}$ inches. To do this, we divide the total length by the thickness of each slice.

Convert $17\frac{1}{2}$ to an improper fraction: $17\frac{1}{2}=\frac{35}{2}$.

The number of slices $n$ is given by $\frac{35}{2} \div \frac{1}{8}$. When dividing by a fraction, we multiply by its reciprocal, so $n = \frac{35}{2} \times 8$.

Simplify: $\frac{35\times8}{2}=35\times4 = 140$ slices.

Step2: Find number of bags

Now, we put 10 slices in each bag. So the number of bags $b$ is the total number of slices divided by 10.

$b=\frac{140}{10}=14$

Answer:

A) 14 bags