Question

1. it costs $7.20 for 6 large candy bars. how many candy bars can you buy for $13.20?
2. the triangles have a scale of 3:5. what is the value of a?

Explanation:

Step1: Calculate the price per candy bar

The cost of 6 candy bars is $7.20. To find the price per candy bar, we divide the total cost by the number of candy bars.
$7.20\div6 = 1.2$ dollars per candy bar.

Step2: Calculate the number of candy bars for $13.20

We know the price per candy bar is $1.2. To find the number of candy bars for $13.20, we divide the total amount of money by the price per candy bar.
$13.20\div1.2=\frac{13.20}{1.2}=\frac{132}{12} = 11$

Step1: Set up the proportion for the scale factor

The scale factor of the two triangles is $3:5$. Let the side of the first triangle be $15$ (corresponding to the ratio $3$) and the side of the second triangle be $a$ (corresponding to the ratio $5$). We set up the proportion $\frac{3}{5}=\frac{15}{a}$.

Step2: Solve the proportion for $a$

Cross - multiply: $3a=15\times5$.
$3a = 75$.
Divide both sides by $3$: $a=\frac{75}{3}=25$.

Answer:

11