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 $7\frac{9}{8} Kg$ 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:

$\frac{a}{b}+\frac{c}{d} =\frac{ad+bc}{bd}$

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,

$a\frac{b}{c}+d\frac{e}{f} =(a+d)\frac{bf+ce}{cf}$

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:

$x-3\frac{5}{8}x=4\frac{3}{6}\\\\x=4\frac{3}{6}+3\frac{5}{8}$

Then, simplifying we have:

$x=4\frac{3}{6}+3\frac{5}{8}\\\\x=4\frac{3}{6}+3\frac{5}{8}=(4+3)\frac{24+30}{48}\\\\x=(4+3)\frac{24+30}{48}=7\frac{54}{48}=7\frac{9}{8}$

So, Samir picks $7\frac{9}{8} Kg$ of peppers in the evening.

Have a nice day!