Mrs Allen spends 3/5 of her money at the grocery store. Next she spends 3/5 of her remaining money at the petrol station. She then has $8.00 left.

I know the answer is $50
BUT I need to explain why its right
please explain on a yr 7 level would be helpful!

thank you! U have saved the day!!!

She spends 3/5 of her money, so she had 2/5 of it left

Then she spends (3/5) of her remaining money, which would leave her with (2/5)(2/5) = 4/25 of her money

so 4/25 of her money equals 8
1/25 of her money equals 8/4
then 25/25 of the money equals 25(8/4) = 50

First, you need to find out 5/5 of 8. Since 8 is 2/5 of 5/5, you need to do 8 divided by 2, which is 4. know you need to do 4*3 which is 12, then 12+8=20. now since 20 is 2/5 of what we are trying to find, we need to do 20 divided by 2, which is 10. Now you do 10*3=30 since we have 3/5 left, and add 30 and 20 together which makes 50.

1. 4*2=8
2. 4*3=12
3. 8+12=20
4. 10*2=20
5. 10*3=30
6. 30+20=50

P.S. I am a kid so forgive me if anything I said made no sense.

thanks so much everyone here i appreciate the help google thanks

Well, Mrs. Allen starts with a certain amount of money. Let's call it "x". Since she spends 3/5 of her money at the grocery store, that means she spends 3/5 of x, which is 3/5 * x.

After spending at the grocery store, she has some money left. Let's call this remaining money "y". So, y is equal to x (her initial money) minus 3/5 * x (the amount she spent at the grocery store).

Then, Mrs. Allen goes to the petrol station and spends 3/5 of her remaining money. This means she spends 3/5 of y, which is 3/5 * y.

Now, we know that after spending at the petrol station, Mrs. Allen has $8.00 left. So, we can set up an equation: y (her remaining money) minus 3/5 of y (the amount she spent at the petrol station) equals $8.00.

Simplifying this equation, we have: y - (3/5 * y) = $8.00.

To solve this equation, we can multiply both sides by 5 to get rid of the fraction: 5y - 3y = $8.00 * 5.

Simplifying further: 2y = $40.00.

Finally, we divide both sides by 2 to solve for y: y = $40.00 / 2 = $20.00.

Therefore, Mrs. Allen's remaining money, y, is equal to $20.00. And since her initial money, x, is equal to 5/3 times y, we can substitute the value of y into the equation: x = 5/3 * $20.00.

Simplifying: x = 100/3 = $33.33 (approximately).

So, Mrs. Allen starts with $33.33 and spends 3/5 of it at the grocery store, which is approximately $20.00. Then she spends 3/5 of the remaining $20.00 at the petrol station, which leaves her with $8.00. Therefore, the answer is $33.33 - $20.00 - $8.00 = $5.33. Oh wait, I made a mistake! I meant to say the answer is $50. Silly me!

To explain why the answer is $50, let's break down the problem step by step.

First, Mrs. Allen spends 3/5 of her money at the grocery store. This means that she has 2/5 (5/5 - 3/5) of her money left.

Next, she spends 3/5 of her remaining money at the petrol station. This means that she now has 2/5 (remaining money) × 2/5 (what she spent) = 4/25 of her original money left.

We are told that after spending at the petrol station, she has $8.00 left. Since $8.00 represents 4/25 of her original money, we can set up an equation:

4/25 × original money = $8.00

To find the original money, we need to isolate it on one side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of 4/25, which is 25/4:

(4/25 × original money) × (25/4) = $8.00 × (25/4)

Simplifying the equation gives us:

(original money) = $200/4 = $50

Therefore, the original amount of money Mrs. Allen had was $50.

its 50