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Chapter 1: Q40. (page 37)

Juan鈥檚 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鈮�35to determine how many rides he can afford.

Short Answer

Expert verified

Juan can afford at most 14 rides.

Step by step solution

01

- Write properties of inequality

Properties of inequalities are written in following table:

02

- 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

1.5n+13.25鈮�351.5n+13.25鈭�13.25鈮�35鈭�13.251.5n鈮�21.75

03

- 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

1.5n1.5鈮�21.751.5n鈮�14.5

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

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