Question

You have 8 times as many dimes as nickles. You have 18 dimes and nickles altogether. How much money do you have in all?

Answer 1

To find the total amount of money you have, you need to calculate the value of the dimes and nickels separately, then add them together. You have 16 dimes and 2 nickels, which gives you a total of $1.70.

Step-by-step explanation:

To find out how much money you have in total, you need to calculate the value of the dimes and nickels separately, then add them together. Let's break it down:

• You have 8 times as many dimes as nickels, so if we let the number of nickels be 'x', the number of dimes would be 8 times 'x', or 8x.
• The total number of dimes and nickels is 18, so we can write an equation: x + 8x = 18.
• Combining like terms, we get 9x = 18.
• Dividing both sides of the equation by 9, we find x = 2.
• So, you have 2 nickels and 8 times 2 = 16 dimes.
• The value of a nickel is 5 cents, so 2 nickels would be 2 * 5 = 10 cents.
• The value of a dime is 10 cents, so 16 dimes would be 16 * 10 = 160 cents.
• Adding the value of the nickels and the dimes together, we have 10 cents + 160 cents = 170 cents.

Therefore, you have a total of 170 cents, which is equivalent to $1.70.

Answer 2

$1

Step-by-step explanation:

If you have x dimes, you have 8x nickels.

So, this means x + 8x = 18.

• 9x = 18 (combine like terms)
• x = 2 (divide both sides by 2)

This means you have 2 dimes and 16 nickels, which have a combined value of 2(0.10)+16(0.05)=$1.