Question

Emma had just been given some coins by her parents. On the way to school she lost exactly half of them, and then by retracing her steps she found exactly four-fifths of the coins she had lost. What fraction of the coins that she received from her parents were still missing after Emma retraced her steps? Express your answer as a common fraction.

Answer 1

1/10

Explanation:

Let the number of coins Emma received from her parents be x. She lost x/2 coins on the way to school. She found 1/2 * 4x/5 = 2x/5 of the coins by retracing her steps. Thus, Emma has x/2 + 2x/5 = 9x/10 coins. She is still missing x-9x/10=x/10 coins, so she is missing 1/10 of the coins. Hope this was helpful!

Answer 2

First of all... Emma needs to be more responsible :)

We know that she lost half of them. Out of the half that she lost she found 4/5 of them. So we need to find 4/5 of 1/2. To do this we need to multiply 4/5 and 1/2.

4/5 x 1/2= 2/5

Now we know that she found 2/5 of the total coins she was given. We now need to add 2/5 of the coins she found to the coins she didn't lose, which is half of them.

2/5 + 1/2= 9/10

After retracing her steps she has 9/10 of the total coins she was given. Since the question is asking how much was STILL MISSING, we need to subtract 9/10 of the coins she has from the total of the coins she was given.

10/10 - 9/10= 1/10

Now we have our answer! 1/10!

RETRACING HER STEPS, EMMA WAS STILL MISSING 1/10 OF THE TOTAL AMOUNT OF COINS SHE WAS GIVEN.