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

Jeff is lining up children鈥檚 and adult bicycles at the bike shop where he works. The number of children鈥檚 bicycles is nine less than three times the number of adult bicycles. There are 42adult bicycles. How many children鈥檚 bicycles are there?

Short Answer

Expert verified

The number of children鈥檚 bicycles is 117.

Step by step solution

01

Step 1. Given Information 

We are given that the number of adult bicycles is 42.

We have to find the number of children鈥檚 bicycles.

02

Step 2. Forming the equation 

Let the total number of children鈥檚 bicycles be xand the number of adult bicyles bey,

We know that the number of children鈥檚 bicycles is nine less than three times the number of adult bicycles.

So, the equations will be,

y=42x=3y-9

03

Step 3. Solving the equation 

Putting the value of yin the equation, we get

x=3y-9x=342-9x=126-9x=117

Hence, the number of children鈥檚 bicycles is117.

04

Step 4. Checking the solution 

Putting the value of xin the equation, we get

x=3y-9117=3(42)-9117=126-9117=117LHS=RHS

Hence the solution is correct.

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