Question

complete each table.

1. 5 pennies = 1 nickel

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$$\begin{tabular}{|c|c|c|c|c|c|} \\hline pennies & 5 & 10 & 15 & 20 & 25 \\\\ \\hline nickels & 1 & & & & \\\\ \\hline \\end{tabular}$$

1. 10 dimes = 1 dollar

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$$\begin{tabular}{|c|c|c|c|c|c|} \\hline dimes & 10 & 20 & 30 & & \\\\ \\hline dollars & 1 & 2 & & & \\\\ \\hline \\end{tabular}$$

Explanation:

Identify the proportional relationships

The first table (Question 15) uses the conversion \(5\text{ pennies} = 1\text{ nickel}\).
The second table (Question 16) uses the conversion \(10\text{ dimes} = 1\text{ dollar}\).

Complete the pennies to nickels table

Using the ratio \(\frac{\text{pennies}}{\text{nickels}} = \frac{5}{1}\):

• For \(10\) pennies: \(\frac{10}{5} = 2\) nickels.
• For \(15\) pennies: \(\frac{15}{5} = 3\) nickels.
• For \(20\) pennies: \(\frac{20}{5} = 4\) nickels.
• For \(25\) pennies: \(\frac{25}{5} = 5\) nickels.

Complete the dimes to dollars table

Using the ratio \(\frac{\text{dimes}}{\text{dollars}} = \frac{10}{1}\):

• For \(10\) dimes: \(1\) dollar.
• For \(20\) dimes: \(2\) dollars.
• For \(30\) dimes: \(\frac{30}{10} = 3\) dollars.
• For the next columns, the pattern of dimes increases by \(10\) each step:
• Next dimes value is \(40\), which corresponds to \(\frac{40}{10} = 4\) dollars.
• Following dimes value is \(50\), which corresponds to \(\frac{50}{10} = 5\) dollars.

Answer:

Question 15

pennies	5	10	15	20	25

Question 16

dimes	10	20	30	40	50