SOLUTION: 420 g of food was placed in a hamster’s cage. On the first day, the hamster ate {{{2/5}}} of the food. On the second day, the hamster ate {{{1/3}}} of the food. On the third

Algebra ->  Customizable Word Problem Solvers  -> Unit conversion -> SOLUTION: 420 g of food was placed in a hamster’s cage. On the first day, the hamster ate {{{2/5}}} of the food. On the second day, the hamster ate {{{1/3}}} of the food. On the third      Log On

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Question 1184563: 420 g of food was placed in a hamster’s cage.
On the first day, the hamster ate 2%2F5 of the food.
On the second day, the hamster ate 1%2F3 of the food.
On the third day, the hamster ate 41 g of the food and some food was left.
(a) Find the mass of food the hamster ate on the first day.
(b) Find the mass of food left at the end of the third day.

Found 3 solutions by Boreal, josgarithmetic, MathTherapy:
Answer by Boreal(15235) About Me  (Show Source):
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day 1 ate 420(2/5)=168 gm so 252 gm left.
day 2 ate 1/3 of that or 84 gm so have 168 gm left
day 3 ate 41 gm so 127 gm left.
First and third lines are the answers.
I am assuming on the second day ate 1/3 of the remaining food, not 1/3 of the original amount.

Answer by josgarithmetic(39627) About Me  (Show Source):
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Hamster finished still retained this much after the second day:
420-%282%2F5%29420-%281%2F3%29420 according to the description.

Retained at end of second day
420-308
112

On the day #3, hamster ate 41 grams of food. He then had retained 112-41=highlight%2871%29grams.

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

420 g of food was placed in a hamster’s cage.
On the first day, the hamster ate 2%2F5 of the food.
On the second day, the hamster ate 1%2F3 of the food.
On the third day, the hamster ate 41 g of the food and some food was left.
(a) Find the mass of food the hamster ate on the first day.
(b) Find the mass of food left at the end of the third day.
(a) Amount eaten on 1st day: matrix%281%2C6%2C+2%2F5%2C+%22%2A%22%2C+420%2C+%22=%22%2C+highlight%28168%29%2C+g%29
(b) Amount remaining at the end of the 3rd day: