Substitution Worksheet With Answer Key - Waynesville R-Vi School District Page 35
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386-2 Substitution
The two lines are identical, so there are an infinite number of solutions to the system. The system is dependent.
Coach Ross wants to take the soccer team out for pizza after their game. Her budget is at
most $70.
a. Using the sign shown, write an inequality that represents this situation.
b. Are there any restrictions on the variables? Explain.
a. Let p represent the number of pizzas, and let d represent the number of pitchers of soft drinks. The amount spent
on pizzas is represented by 12p , and the amount spent on pitchers of soft drink is represented by 2d. The total spent
p + 2d
he number of pizzas purchased
b. The coach cannot purchase a fractional part of a pizza or pitcher of drinks. So, t
and the number of pitchers of soft drinks ordered must be an integer that is greater than or equal to 0. The cost of
the pizzas and the cost of the pitchers must be at most $70. If 12p
p < 6. If 2d
d < 35.
Therefore, the restrictions on the variables are that
p and d
p
d
Solve each inequality. Check your solution.
6v
11
To check this answer, substitute a number greater than or equal to 2
So the solution checks.
24 > 18 + 2n
Page 35
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