QuestionMike and Hugo share money in a $3:5$ ratio. If Mike gets \$18, find the total amount.

Studdy Solution

STEP 1

Assumptions1. Mike and Hugo share a sum of money in the ratio35. . Mike gets $18, which corresponds to the '3' part of the ratio.

STEP 2

First, we need to find the value of each part in the ratio. We can do this by dividing the amount Mike gets by his part of the ratio.
$Value\, of\, each\, part = \frac{Amount\, Mike\, gets}{Mike's\, part\, of\, the\, ratio}$

STEP 3

Now, plug in the given values for the amount Mike gets and his part of the ratio to calculate the value of each part.
$Value\, of\, each\, part = \frac{\$18}{3}$

STEP 4

Calculate the value of each part.
$Value\, of\, each\, part = \frac{\$18}{3} = \$6$

STEP 5

Now that we have the value of each part, we can find the total sum of money. This is done by multiplying the value of each part by the total number of parts in the ratio.
$Total\, sum\, of\, money = Value\, of\, each\, part \\times Total\, number\, of\, parts$

STEP 6

The total number of parts in the ratio is the sum of the parts of the ratio, in this case,3 +5 =8. Plug in the values for the value of each part and the total number of parts to calculate the total sum of money.
$Total\, sum\, of\, money = \$6 \\times8$

STEP 7

Calculate the total sum of money.
$Total\, sum\, of\, money = \$6 \\times = \$48$ The total sum of money that Mike and Hugo share is $48.

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms