a sum of money is shared between peter and john in a ration 3:5. john got $9. what was the total amount shared.
5/8=9
8/5×9=14.4
3/5 = x/9
Cross multiply and solve for x.
What is the answer
To find the total amount of money shared between Peter and John, we can use the ratio that is given to us. In this case, the ratio of sharing is 3:5.
Since John received $9, we can use this information to determine the total amount shared. We know that John's share represents 5 parts of the ratio, and he received $9. Therefore, 5 parts of the ratio is equal to $9.
To find the value of one part of the ratio, we divide $9 by 5:
$9 ÷ 5 = $1.8
Now that we know the value of one part of the ratio, we can find the total amount of money shared by multiplying the value of one part by the total number of parts:
Total amount shared = Value of one part × Total number of parts
In this case, the total number of parts is the sum of the parts in the ratio, which is 3 + 5 = 8.
Total amount shared = $1.8 × 8 = $14.4
So, the total amount shared between Peter and John is $14.4.