Question

maggie opened a big bag of jelly beans and ate one-fifth of them. the next day, she ate 40 more jelly beans from the bag. if she ate 107 jelly beans between the two days, find the original number of jelly beans in the bag.

Answer 1

For this case we have to:

x: Let the variable that represents the initial amount of jelly beans in the bag

So:

Maggie ate$\frac {1} {5}$of the jelly beans:

$\frac {1} {5} x$

Then he ate 40 jelly beans:

$\frac {1} {5} x-40$

In those two days he ate a total of 107 jelly beans:

$\frac {1} {5} x + 40 = 107$

We clear the value of the variable "x":

$\frac {1} {5} x = 107-40\\\frac {1} {5} x = 67\\x = 67 * 5\\x = 335$

Answer:

The initial quantity of jelly beans was 335