Chapter 1: Q40. (page 37)

Juan’s parents gave him $$35$ to spend at the State Fair. He spends $$ 13.25$ for food. If rides at the fair cost $$ 1.50$ each, solve the inequality $1.5 n + 13.25 \leq 35$ to determine how many rides he can afford.

Short Answer

Expert verified

Juan can afford at most 14 rides.

Step by step solution

- Write properties of inequality

Properties of inequalities are written in following table:

- Simplify 1.5n+13.25≤35

To simplify given inequality, first use subtraction property of inequalities. Subtract same number from both sides does not change the sign of inequality as shown below

$\begin{matrix} 1.5 n + 13.25 \leq 35 \\ 1.5 n + 13.25 - 13.25 \leq 35 - 13.25 \\ 1.5 n \leq 21.75 \end{matrix}$

- Simplify 1.5n≤21.75

To simplify, use division property of inequalities. Divide both sides by same positive number does not reverse the sign of inequality as shown below

$\begin{matrix} \frac{1.5 n}{1.5} \leq \frac{21.75}{1.5} \\ n \leq 14.5 \end{matrix}$

As, $n$ represents number of rides which can only be whole number so Juan can afford at most 14 rides.

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Juan’s parents gave him $\(35$ to spend at the State Fair. He spends $\) 13.25$ for food. If rides at the fair cost $$ 1.50$ each, solve the inequality $1.5 n + 13.25 \leq 35$ to determine how many rides he can afford.

Short Answer

Step by step solution

- Write properties of inequality

- Simplify 1.5n+13.25≤35

- Simplify 1.5n≤21.75

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Juan’s parents gave him \(35to spend at the State Fair. He spends \)13.25for food. If rides at the fair cost $1.50each, solve the inequality 1.5n+13.25≤35to determine how many rides he can afford.

Short Answer

Step by step solution

- Write properties of inequality

- Simplify 1.5n+13.25≤35

- Simplify 1.5n≤21.75

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Pure Maths

Statistics

Theoretical and Mathematical Physics

Mechanics Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Juan’s parents gave him $\(35$ to spend at the State Fair. He spends $\) 13.25$ for food. If rides at the fair cost $$ 1.50$ each, solve the inequality $1.5 n + 13.25 \leq 35$ to determine how many rides he can afford.