QuestionAt Camp Okey-Fun-Okey, the boy-to-girl camper ratio is 8:7. With 195 total campers, find the number of each gender.

Studdy Solution

STEP 1

Assumptions1. The ratio of the number of boy campers to the number of girl campers is87. The total number of campers is1953. The ratio represents the exact distribution of boys and girls in the camp

STEP 2

First, we need to find the total parts in the ratio. We can do this by adding the number of parts for boys and girls.
$Total\, parts = Number\, of\, boy\, parts + Number\, of\, girl\, parts$

STEP 3

Now, plug in the given values for the number of boy parts and girl parts to calculate the total parts.
$Total\, parts =8 +7$

STEP 4

Calculate the total parts in the ratio.
$Total\, parts =8 +7 =15$

STEP 5

Now that we have the total parts in the ratio, we can find the value of each part. This can be done by dividing the total number of campers by the total parts in the ratio.
$Value\, of\, each\, part = Total\, number\, of\, campers / Total\, parts$

STEP 6

Plug in the values for the total number of campers and the total parts to calculate the value of each part.
$Value\, of\, each\, part =195 /15$

STEP 7

Calculate the value of each part.
$Value\, of\, each\, part =195 /15 =13$

STEP 8

Now that we have the value of each part, we can find the number of boy campers by multiplying the value of each part by the number of boy parts in the ratio.
$Number\, of\, boy\, campers = Value\, of\, each\, part \\times Number\, of\, boy\, parts$

STEP 9

Plug in the values for the value of each part and the number of boy parts to calculate the number of boy campers.
$Number\, of\, boy\, campers =13 \\times8$

STEP 10

Calculate the number of boy campers.
$Number\, of\, boy\, campers =13 \\times8 =104$

STEP 11

Similarly, we can find the number of girl campers by multiplying the value of each part by the number of girl parts in the ratio.
$Number\, of\, girl\, campers = Value\, of\, each\, part \\times Number\, of\, girl\, parts$

STEP 12

Plug in the values for the value of each part and the number of girl parts to calculate the number of girl campers.
$Number\, of\, girl\, campers = \\times7$

STEP 13

Calculate the number of girl campers.
$Number\, of\, girl\, campers =13 \\times7 =91$ So, there were104 boy campers and91 girl campers at Camp Okey-Fun-Okey last summer.

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