Question

Samir harvest the peppers and pumpkins in his garden he picks 3 5/8 less peppers in the afternoon than in the evening if Samir picks 4 3/6 in the afternoon how many kilograms of peppers does he pick in the evening? Explain your answer using words or equations

Answer 1

Hello!

The answer is:

Samir picks
`7(9)/(8) Kg` of peppers in the evening.

Why?

To solve this problem, we must remember the way to add or subtract mixed numbers.

We must remember the way of adding or subtracting fractions:

`(a)/(b)+(c)/(d) =(ad+bc)/(bd)`

Also, if we need to add or subtract mixed numbers with different denominators, we need to follow the next steps:

- Add or subtract the whole number part

- Add or subtract the fractional numbers.

- Put together both, whole number addition or subtraction result and the addition or subtraction of the fractional numbers.

So,

`a(b)/(c)+d(e)/(f) =(a+d)(bf+ce)/(cf)`

Now, if Samir picks 3 5/8 less peppers in the afternoon than in the evenning, and if he picks 4 3/6 peppers in the afternoon, so:

Let be x the number of peppers that he picks in the evening, so:

`x-3(5)/(8)x=4(3)/(6)\\\\x=4(3)/(6)+3(5)/(8)`

Then, simplifying we have:

`x=4(3)/(6)+3(5)/(8)\\\\x=4(3)/(6)+3(5)/(8)=(4+3)(24+30)/(48)\\\\x=(4+3)(24+30)/(48)=7(54)/(48)=7(9)/(8)`

So, Samir picks
`7(9)/(8) Kg` of peppers in the evening.

Have a nice day!