Together, katya and mimi have 480 pennies in their piggy banks. after katya lost ½ of her pennies and mimi lost 2/3 of her pennies, they both had an equal number of pennies left. how many pennies did they lose altogether

288 pennies

Given:

Question:

How many pennies did they lose altogether?

The Process:

Let k = Katya's pennies and m = Mimi's pennies.

Step-1: Finding out the amount of money in the beginning

At first, Katya and Mimi have 480 pennies in their piggy banks.

Equation-1:

After Katya lost ½ of her pennies and Mimi lost ²/₃ of her pennies, they both had an equal number of pennies left. That is, the number of pennies remaining from Katya is , while Mimi is .

Equation-2:

From Equation-2, we get and substitute into Equation-1.

Substitute the value of m into

Therefore, we got Katya's money of 192 pennies and Mimi's money of 288 pennies at first.

Step-2: Finding out how many pennies did they lose altogether

Katya lost ½ of her pennies and Mimi lost ²/₃ of her pennies.

Thus, they did lose 288 pennies altogether.

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Notes

From , we can find out their initial money ratio is Katya's: Mimi's = 2: 3.

Keywords: together, Katya and Mimi, 480 pennies, piggy banks, lost, an equal number, left, lose

a

step-by-step explanation:

answer:

c. the third graph