Question

Sheldon harvests the strawberries and tomatoes in his garden.

a. He picks 1 2/5 kg less strawberries in the morning than in the afternoon. If Sheldon picks 2 1/4 kg in the morning, how many kilograms of strawberries does he pick in the afternoon? Explain your answer using words, pictures, or equations.
b. Sheldon also picks tomatoes from his garden. He picked 5 3/10 kg, but 1.5 kg were rotten and had to be thrown away. How many kilograms of tomatoes were not rotten? Write an equation that shows how you reached your answer.
c. After throwing away the rotten tomatoes, did Sheldon get more kilograms of strawberries or tomatoes? How many more kilograms? Explain your answer using an equation.

Answer 1

A. 3 13/20

B.3.8 kg

C.Strawberries

Explanation:

In order to solve this we just need to find the amount of strawberries he picked, and if he picked 1 2/5 less in the morning and in the morning he picked 2 1/4, we just add that up to know how much he picked in the afternoon:

`1(2)/(5)+ 2(1)/(4)\\1 (2(4))/(20)+ 2(1(5))/(20)\\1 (8)/(20)+ 2(5)/(20)\\\\3(13)/(20)`

So in the afternoon he picked
`3(13)/(20)`.

Now he picked 5 3/10 kg of tomatoes but 1.5 were rotten, we just have to withdraw the rotten from the total:

`5(3)/(10) -1(1)/(2) \\5(3)/(10) -1(5)/(10) \\4(3-5)/(10) \\3(13-5)/(10) \\3(8)/(10)`

So now we know that he picked
`3(8)/(10)` kg of good tomatoes.

If he picked in the afternoon and the morning 5.05 kg of strawberries, he picked more strawberries than tomatoes.