The stock of cat food will last for 149 weeks.
Step-by-step explanation:
Given,
Bags of cat food in stock = 112
Bags used each week = [tex]\frac{3}{4}\ of\ one\ bag[/tex]
Let,
x be the number of weeks.
Therefore,
[tex]\frac{3}{4}x=112[/tex]
Multiplying both sides by 4/3
[tex]\frac{4}{3}*\frac{3}{4}x=112*\frac{4}{3}\\x=\frac{448}{3}\\x=149.33[/tex]
Rounding off to nearest whole number;
x=149
The stock of cat food will last for 149 weeks.
Keywords: fraction, multiplication
Learn more about fractions at:
#LearnwithBrainly