Question

Emma has 56 37⁄40 bags of dog food to feed all of the dogs at the animal shelter. The dogs each eat 81⁄4 bags of food per week. How many weeks' worth of dog food does Emma have?

Answer 1

Total bags of dog food to feed the dogs = $56 \frac{37}{40}$ bags

Total bags of food eaten by dogs per week = $8\frac{1}{4}$ bags

We have to determine the number of weeks, worth of dog food which Emma has.

The number of weeks are calculated by dividing the total number of bags of dog food divided by the total bags of food eaten by dogs per week.

So, The number of weeks = $56 \frac{37}{40} \div 8 \frac{1}{4}$

= $\frac{2277}{40} \div \frac{33}{4}$

= $\frac{2277}{40} \times \frac{4}{33}$

= $\frac{2277}{10} \times \frac{1}{33}$

= $\frac{2277}{330}$

= $\frac{207}{30}$

= 6.9

= 7 weeks

So, Emma has dog food for 7 weeks.

Answer 2

$\text{Answer: Number of weeks }=56$

Explanation:

Since we have given that

$\text{Number of bags of dog food to feed all of the dogs at the animal shelter} =56\frac{37}{40}$$\text{Number of bags of food per week eaten by dogs }= 8\frac{1}{4}$

So,

$\text{Number of weeks worth of dog food Emma have } =\frac{56\frac{37}{40}}{8\frac{1}{4}}$

$\text{Number of weeks worth of dog food Emma have }=\frac{2240\times 4}{40\times 4}\\\text{Number of weeks worth of dog food Emma have }=\frac{2240}{40}\\\text{Number of weeks worth of dog food Emma have }=56$

∴ $\text{Number of weeks worth of dog food Emma have}=56$