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, convert \(17\frac{1}{2}\) to an improper fraction, which is \(\frac{35}{2}\). To find the number of slices, divide the total length by the thickness of each slice. So, \(\frac{35}{2} \div \frac{1}{8}=\frac{35}{2} \times 8 = 35\times4 = 140\) slices.

Step2: Find number of bags

Each bag has 10 slices, so divide the total number of slices by 10: \(140\div10 = 14\) bags. Wait, no, wait. Wait, \(\frac{35}{2}\) divided by \(\frac{1}{8}\): \(\frac{35}{2} \times 8 = 35\times4 = 140\) slices. Then \(140\div10 = 14\)? But the options have A)14 bags. Wait, did I miscalculate? Wait, \(17\frac{1}{2}\) is \(17.5\) inches. Thickness is \(0.125\) inches. Number of slices: \(17.5\div0.125 = 140\) slices. Then bags: \(140\div10 = 14\) bags. So the answer should be A)14 bags. Wait, but let me check again. \(17\frac{1}{2}=\frac{35}{2}\). Divide by \(\frac{1}{8}\): \(\frac{35}{2} \times 8 = 35\times4 = 140\) slices. Then 140 slices, 10 per bag: \(140\div10 = 14\) bags. So the correct option is A.

Answer:

A) 14 bags