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Chapter 3: Q.5 (page 164)

Find the cost of a child鈥檚 ticket last year if the costof a child鈥檚 ticket for a museum is lowered by \(3 from last year. An adult鈥檚 ticket still costs \)12. A family of 2 adults and 2 children pay $38 to go to the museum this year.

Short Answer

Expert verified

The cost of the child鈥檚 ticket last year is $10.

Step by step solution

01

Step 1.  Apply the concept of Linear equation

In this type, use the concept of making a linear equation and use the distributive property.

02

Step 2.  Finding the equation for the question

Since, the total cost of ticket this year is$38 for 2 adults and 2 children and the cost of adult ticket is $12.

Let the cost of a child鈥檚 ticket be x, then the equation for total cost:

2(12)+2x=3824+2x=38

03

Step 3.  Solving the equation to get the solution

Since, the equation is 24+2x=38.

Simply, add 24to both side of the equation to get the solution,

24+2x=3824+2x鈭�24=38鈭�242x=14x=142x=7

The cost of a child鈥檚 ticket this year is $7.

So, the last year the cost is $3 more, therefore, the last year cost will be $3+$7=$10.

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