In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question.

There are 16girls in a school club. The number of girls is four more than twice the number of boys. Find the number of boys.

Short Answer

Expert verified

The number of boys is 6.

Step by step solution

01

Step 1. Given Information 

We are given that there are 16girls in a school club.

We have to find the number of boys.

02

Step 2. Forming the equation 

Let the total number of choir members bex,

We know that,

The number of girls is equal to four more than twice the number of boys.

So, the equation will be,

2x+4=16

03

Step 3. Solving the equation 

Subtracting 4from both sides, we get

2x+4=162x=16-42x=12

Dividing by 2, we get

x=6

Hence, the number of boys is 6.

04

Step 4. Checking the solution 

Putting the value of xin the equation, we get

2x+4=162(6)+4=1612+4=1616=16LHS=RHS

Hence, the solution is correct.

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