Question

Ms.Jonhson and Ms.Siple were folding report cards to send home to parents. The ratio of number of report cards Ms.Jonhson folded to the number of report cards to Ms.Siple folded is 2:3. At the end if the day, Ms.Jonhson and Ms.Siple folded a total of 300 report cards. How many did each person fold?

Answer 1

Ms.Johnson folded 120 cards and Ms.Siple folded 180 cards.

Explanation:

Given:

Ms.Johnson and Ms.Siple were folding report cards to send home to parents. The ratio of number of report cards Ms.Johnson folded to the number of report cards to Ms.Siple folded is 2:3. At the end if the day, Ms.Johnson and Ms.Siple folded a total of 300 report cards.

Now, to get the number of cards each person fold.

As, the ratio is given.

Ms.Johnson folded to the number of report cards to Ms.Siple folded is 2:3.

So, let the number of cards Ms.Johnson folded be
`2x.`

And, let the number of cards Ms.Siple folded be
`3x.`

Total number of cards folded by both of them = 300.

According to question:

`2x+3x=300\\\5x=300\\\Dividing\ both\ sides\ by\ 5\ we\ get:\\x=60.`

Now, to get the number of cards folded by Ms.Johnson and Ms.Siple we substitute the value of
`x:`

Ms.Johnson folded:

`2x=2*60=120.`

Ms.Siple folded:

`3x=3* 60=180.`

Therefore, Ms.Johnson folded 120 cards and Ms.Siple folded 180 cards.