117k views
5 votes
mrs. li bought some crackers. she gave 30% of the crackers to her neighbor and ate 50% of the remaining crackers. mrs. li had 42 crackers left. how many crackers did mrs. li buy?

1 Answer

5 votes
Answer:
She bought 120 crackers

Step-by-step explanation:
Assume that the number of crackers she originally bought was x

We know that she gave her neighbor 30% of the crackers.\This means that:
amount left with her = x - 30%x
amount left with her = x - 0.3 x
amount left with her = 0.7x crackers

Now, we know that she ate 50% of that amount.
This means that:
she ate 50%(0.7x) = 0.5(0.7x) = 0.35x crackers
amount left with her = 0.7x - 0.35x = 0.35x crackers

Finally, we know that the number of crackers left with her is 42 crackers.
This means that:
0.35x = 42
x =
(42)/(0.35)
x = 120 crackers

Hope this helps :)
User Sharif Mamun
by
5.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.