There are 20 nickels in one dollar. Write an equation to find the number of nickels n in any number of dollars d
The Correct Answer and Explanation is:
Correct Answer:
The equation is: n=20dn = 20dn=20d
Where:
- nnn is the number of nickels
- ddd is the number of dollars
Explanation:
To solve problems like this, we need to understand the relationship between dollars and nickels. One dollar is equal to 100 cents. A nickel is worth 5 cents. To find out how many nickels are in one dollar, we divide: 100÷5=20100 \div 5 = 20100÷5=20
This tells us that there are 20 nickels in one dollar.
Now suppose we want to know how many nickels are in more than one dollar. Since every dollar contains 20 nickels, we multiply the number of dollars by 20. This gives us a general formula: n=20dn = 20dn=20d
This equation means that for any number of dollars ddd, you can find the number of nickels nnn by multiplying ddd by 20. For example:
- If you have 2 dollars, the number of nickels is: n=20×2=40n = 20 \times 2 = 40n=20×2=40
- If you have 5 dollars: n=20×5=100n = 20 \times 5 = 100n=20×5=100
- If you have 0 dollars: n=20×0=0n = 20 \times 0 = 0n=20×0=0
The equation works for whole numbers and can also work with decimals. If you had 1.5 dollars: n=20×1.5=30n = 20 \times 1.5 = 30n=20×1.5=30
This equation shows a proportional relationship between dollars and nickels. As dollars increase, nickels increase at a constant rate of 20 nickels per dollar. Using algebraic equations like this makes it easy to solve problems quickly and accurately without repeated counting.
