Question

1. one jar of sun - dried tomatoes costs $4. how many jars of sun - dried tomatoes can you buy for $20?
2. a triangle is 3 in tall and 2 in wide. if it is enlarged to a height of 12 in, then how wide will it be?

Explanation:

Problem 2

Step1: Define the cost per jar

Let \( j \) be the number of jars. Each jar costs $4, and we have $20. The equation is \( 4j = 20 \).

Step2: Solve for \( j \)

Divide both sides by 4: \( j=\frac{20}{4} = 5 \).

Step1: Set up the proportion

Since the triangle is enlarged, the ratio of height to width remains the same. Original ratio: \( \frac{3}{2} \), new ratio: \( \frac{12}{w} \), so \( \frac{3}{2}=\frac{12}{w} \).

Step2: Solve for \( w \)

Cross - multiply: \( 3w = 2\times12 \), \( 3w = 24 \), then \( w=\frac{24}{3}=8 \).

Answer:

5

Problem 4