Question

2.4: quarters and dimes
4 quarters are equal in value to 10 dimes.

1. how many dimes equal the value of 6 quarters?
2. how many dimes equal the value of 14 quarters?
3. what value belongs next to the 1 in the table? what does it mean in this context?

number of quarters	number of dimes
4	10
6
14

are you ready for more?
pennies made before 1982 are 95% copper and weigh about 3.11 grams each. (pennies made after that date are primarily made of zinc). some people claim that the value of the copper in one of these pennies is greater than the face value of the penny. find out how much copper is worth right now, and decide if this claim is true.

Explanation:

Sub - question 1

Step 1: Find the ratio of dimes to quarters

We know that 4 quarters are equal to 10 dimes. So the ratio of dimes to quarters is $\frac{10}{4}=\frac{5}{2}$.

Step 2: Calculate dimes for 6 quarters

To find the number of dimes for 6 quarters, we multiply the number of quarters (6) by the ratio of dimes to quarters ($\frac{5}{2}$). So, $6\times\frac{5}{2}= 15$.

Step 1: Use the ratio of dimes to quarters

The ratio of dimes to quarters is $\frac{10}{4}=\frac{5}{2}$ (from 4 quarters = 10 dimes).

Step 2: Calculate dimes for 14 quarters

Multiply the number of quarters (14) by the ratio $\frac{5}{2}$. So, $14\times\frac{5}{2}=35$.

Step 1: Find the value for 1 quarter

We know that 4 quarters correspond to 10 dimes. Let the number of dimes for 1 quarter be $x$. We can set up a proportion: $\frac{10}{4}=\frac{x}{1}$. Cross - multiplying gives $4x = 10$, so $x=\frac{10}{4}=2.5$.

Step 2: Interpret the value

In this context, it means that the value of 1 quarter is equal to the value of 2.5 dimes.

Answer:

15

Sub - question 2