Concept explainers
To identify: Among the given options, the cost for one game of miniature golf cost.
Answer to Problem 62STP
The correct choice is C
Explanation of Solution
Given Information:
Tyler paid $25.25 to play three games of miniature golf and two rides on go-karts.
Brent paid $25.75 to play four games of miniature golf and one ride on go-karts.
Formula Used
The following approach is used to obtain the desired cost.
(1) Assuming two variables corresponding to cost of single game
(2) Forming two equations with the two unknown variables based on the given data.
(3) The equations are solved using variable elimination and simplification to obtain the desired cost.
Calculation
Let the cost for one game of miniature golf be denoted as aand cost for one ride of go-karts be b .
For the case of Tyler, the cost of three games of miniature golf and two rides on go karts amounts to $25.25. This can be expressed using the equation
Similarly for Brent, cost of four games of miniature golf and one ride on go-karts amounts to $25.75 which can be expressed as,
Here, the variable a corresponding to the cost of one game of miniature golf is to be calculated. Hence, the variable b is to be eliminated here. To do so, each of the term in equation (2) is multiplied by 2 to get the modified equation as,
Now, subtracting (1) from (3) gives,
This gives the cost of one game of miniature golf as
Chapter 3 Solutions
Glencoe Algebra 2 Student Edition C2014
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