Question

Sheldon harvests the strawberries and tomatoes in his garden. 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 altogether? (You will use this answer to help you solve the last question) *

Answer 1

Let

x ----> kilograms of strawberries that Sheldon picks in the morning

y ---> kilograms of strawberries that Sheldon picks in the afternoon

so

we have that

x=y-1 2/5

x=2 1/4 kg

substitute

2 1/4=y-1 2/5

Convert mixed numbers to an improper fraction

1 2/5=1+2/5=7/5

2 1/4=2+1/4=9/4

substitute

9/4=y-7/5

y=(9/4)+(7/5)

y=(45+28)/20

y=73/20 kg

Adds kilograms in the morning and afternoon

x+y=(9/4)+73/20)

x+y=(45/20)+(73/20)

x+y=118/20 kg

Convert to mixed number

118/20=100/20+18/20=5+18/20=5+9/10=5 9/10 kg

therefore

The answer is 5 9/10 kg