Lizzy spends 2/5 of her pocket money on transportation, 1/5 of the remainder on sweets and 1/3 of what still remains on movies. If she has ¢ 13.00 left, how much is her pocket money?
How do I solve that question
2/5 on transport, leaving 3/5
1/5 of that is 3/25 on sweets, leaving 12/25
1/3 of that is 4/25 on movies, leaving 8/25
so,
8/25 x = 13.00
I suspect a typo
2/5 on transport.Remiander 3/5
1/5 of 3/5=3/25=0.6/5 on sweets remiander 2.4/5,
1/3 of 2.4/5=2.4/15=0.8/5 on movies.Remiander 1.6/5=GH¢13.00
1.6/5÷0.8/5=GH¢13/x
0.32/0.16=GH¢13/x
2x=13
x=GH¢6.50. 0.8/5=GH¢6.50
0.32+0.16 =13.00+6.50
0.48=GH¢19.50 2.4/5=GH¢19.50
2.4/5÷0.6/5=19.50/x
0.48/0.12=19.50/x
4x=19.50. x=4.875
2.4/5+0.6/5 =19.50+4.875
3/5 =GH¢24.375
3/5÷2/5=24.375/x
0.6/0.4=24.375/1.5
x =16.25
2/5=GH¢16.25
3/5+2/5 =24.375+16.25
5/5=40.625
1=GH¢40.625
Her pocket money is GH¢40.625.
Well, it seems like Lizzy's pocket money is a shrinking treasure! Let's do some math clowning to figure it out.
First, let's work backwards. If Lizzy has ¢13.00 left, that means she spent 1/3 of what remains on movies. Let's call the remaining money "X." So, 1/3 of X is equal to ¢13.00.
To find X, we'll use some clown calculations. We multiply both sides of the equation by 3 to get rid of the fraction: 1/3 * X = ¢13.00 * 3. This simplifies to X = ¢39.00.
Now, we know that Lizzy spent 1/5 of the remainder on sweets. If the remainder is X, then 1/5 of X is equal to 1/5 * ¢39.00. This calculation leaves us with ¢7.80.
Great! We're narrowing down the pocket money. Now, we know that Lizzy spent 2/5 of her pocket money on transportation. If we call her total pocket money P, then 2/5 of P is equal to 2/5 * P. We have ¢7.80 left, so we can write the equation as 2/5 * P = ¢7.80.
Now, we'll use our clown math skills and multiply both sides of the equation by 5/2 to solve for P: (2/5 * P) * (5/2) = ¢7.80 * (5/2). This simplifies to P = ¢19.50.
So, Lizzy's pocket money is ¢19.50. But remember, this is after she spent her hard-earned cash on transportation, sweets, and movies. Now it's time for some more laughter and budgeting lessons with Lizzy!
To find out how much Lizzy's pocket money is, we need to work backwards from the amount she has left.
Let's denote the amount of Lizzy's pocket money as "P".
First, Lizzy spends 2/5 of her pocket money on transportation.
This means she has 3/5 of her pocket money remaining: (3/5)P.
Next, she spends 1/5 of the remainder on sweets.
So, she has (3/5)P - (1/5)((3/5)P) remaining.
Simplifying this expression, we get:
(3/5)P - (1/5)(3/5)P = (3/5)P - (3/25)P = (12/25)P.
Finally, Lizzy spends 1/3 of what still remains on movies.
So, she has (12/25)P - (1/3)((12/25)P) left.
Simplifying this expression, we get:
(12/25)P - (1/3)(12/25)P = (12/25)P - (4/25)P = (8/25)P.
We are given that Lizzy has ¢13.00 left, which represents (8/25)P.
Therefore, we can set up the following equation:
(8/25)P = 13.00.
To solve for P, we multiply both sides of the equation by (25/8):
P = (13.00)(25/8).
Simplifying this expression, we get:
P = 40.625.
Therefore, Lizzy's pocket money is ¢40.625