Question

Jenny has a 57 3/4 kg bag of dog food. Her dog eats 5 1/4 kg of food each week. How Many Weeks will the bag of dog food last? A.10 3/4 B. 11 weeks C. 18 3/8 D.63 weeks

Answer 1

Answer:

B) 11 weeks

Step-by-step explanation:

Given: Jenny has a 57 3/4 kg bag of dog food. Her dog eats 5 1/4 kg of food each week

To Find: How Many Weeks will the bag of dog food last

Solution:

quantity of dog food jenny has $=57\frac{3}{4}\text{kg}$

                                                    $\frac{231}{4}\text{kg}$

dog food eaten by jenny's dog each week $=5\frac{1}{4}\text{kg}$

                                                                       $\frac{21}{4}\text{kg}$

Number of weeks dog food last $=\frac{\text{Total dog food}}{\text{Dog food eaten in one week by jenny's dog}}$

                                                     $\frac{\frac{231}{4}}{\frac{21}{4}}$

                                                     $\frac{231}{21}$

                                                       $11$ $\text{weeks}$

the bag of jenny's dog food will last for 11 weeks, therefore option B is correct

Answer 2

57 3/4 divided by 5 1/4 =

231/4 divided by 21/4 =

231/4x4/21=231/21=11