you have $60, consisting of quarters and pennies. write an inequality that shows the different number of coins in piggy bank
A quarter is worth...well...a quarter dollar. That's 25 cents.
A penny is worth 1 cent.
Start not with the mathmatical formula, but with a statement.
"If I take some number of quarters and add some number of pennies, I will have 60 dollars."
"If I take some number of quarters..."
Some number of quarters. Quarters starts with a "q" so let's call that number "q." A quarter is 25 cents. So
.25 q
"And add"
That's addition. +
.25q +
"Some number of pennies."
Pennies starts with a p, so let's call "some number" "p." A penny is worth one cent, so
.01p
Now we have
.25q + .01p
"I will have"
Adding them together gives you a new number. That means is equals something.
=
.25q + .01p =
"60 dollars."
.25q + .01p = 60
Now, you will not be able so solve this yet. You would have to know how many coins there are to do that.
Sorry for the double post. My blackberry went haywire. :-D
To write an inequality that shows the different numbers of coins in a piggy bank, let's start by assigning variables to the number of quarters and the number of pennies in the piggy bank.
Let's say the number of quarters is represented by the variable 'Q', and the number of pennies is represented by the variable 'P'.
Since we're given that you have a total of $60, we can express this information in terms of the number of quarters and pennies.
The value of each quarter is $0.25, so the value of all the quarters is 0.25Q.
The value of each penny is $0.01, so the value of all the pennies is 0.01P.
Therefore, the inequality to represent the different numbers of coins in the piggy bank is:
0.25Q + 0.01P ≤ 60
This inequality states that the total value of the quarters (0.25Q) plus the total value of the pennies (0.01P) should be less than or equal to $60.