Question

Jonathan finds some nickels and quarters in his change purse. How many coins does he have if he has 12 nickels and 4 quarters? How many coins does he have if he has xx nickels and yy quarters?Total coins, 12 nickels and 4 quarters: Total coins, xx nickels and yy quarters:

Answer 1

Jonathan has a total of 16 coins when he has 12 nickels and 4 quarters. For a generic count of coins, where he has xx nickels and yy quarters, the total number of coins is simply the sum of xx and yy.

Step-by-step explanation:

The question involves simple addition of the number of coins. To determine the total number of coins Jonathan has, you need to add together the number of nickels and quarters.

For the specific counts given:

Total coins, 12 nickels and 4 quarters: To find this, you simply add the two numbers together: 12 + 4 = 16 coins.

Total coins, xx nickels and yy quarters: The sum here would be xx + yy. This expression represents the total number of coins for any number of nickels (xx) and quarters (yy).

Answer 2

Each nickel is worth 5 cents, and each quarter is worth 25 cents.

So, if we have 12 nickels, we can multiply this value by 5 to get its value in cents:

`12\cdot5=60`

Similarly, if we have 4 quarters, we can multiply this value by 25 to get its value in cents:

`4\cdot25=100`

So, in total, we have:

`60+100=160`

So, for 12 nickels and 4 quarter, we have the value of 160 cents.

We can do this generally by setting the values of nickel and quarter to x and y.

If we have x nickels and each one is worth 5 cents, we have the value:

`5x`

And if we have y quarters and each is worth 25 cents, we have the value:

`25y`

So, in total, we have:

`5x+25y`

So, for x nickels and y quarter, we have the value of 5x + 25y cents.