Question

A chalk company gets an order for 3000 boxes of chalk at the beginning of the school year, the largest order they have ever received. Each box contains 145 grams of chalk. If the efficiency of their chalk production process is 82% and the theoretical yield of the production process is 400,000 grams, will they make their goal?

Answer 1

Given that the efficiency of chalk production is 82 %

We can calculate the efficiency of chalk production using the formula,

% Efficiency$=\frac{Actual yield (g)}{Theoretical yield (g)} *100$

Calculating actual yield from % efficiency an theoretical yield:

82 %$=\frac{Actual yield}{400,000 g} * 100$

Actual yield = $\frac{82 *400000 g}{100} = 32,800 g$

Each chalk box has 145 g chalk

Number of boxes = $32800 g *\frac{1 box}{145 g} = 2262 boxes$

The goal of the chalk box company is to prepare 3000 boxes of chalk. So, the company will not be able to reach the goal as it can just prepare 2262 boxes when the efficiency is 82 %