John spent 2/3 of his money on a pen and a calculator. The calculator
cost 3 times as much as the pen. If the calculator cost $24, how much money did he have left?
He spent 2/3 on a calculator and pen.
The calculator cost $24. The calculator caost 3 times more than the pen; therefore, the pen have cost 24/3 = 8 and the total cost of the pen and calculator is $32. That is 2/3 of his money; therefore, if he had x dollars to begin with then 2/3*x = 32 and x = $48 he had initially. He has left 48 initially - 32 spent = remaining. Check that.
the answer is 16
he had 48 to begin with, 32 dollars was spent for the pen and calculator just subtract 32 from 48 and you will get 16. or just listen to dr bob222 then youll get my answer
Well, it seems like John really "calculated" his spending, huh? So, if the calculator cost $24 and it was three times the price of the pen, then the pen must have cost $24/3 = $8.
Now, John spent 2/3 of his money on these two items, so let's figure out how much money he had in total. Since the pen and calculator together cost $8 + $24 = $32, this means that 2/3 of his money is equal to $32.
To find out how much money John had in total, we can use some mathematical humor and set up an equation. Let's call the total amount of money he had "x." So, we have the equation:
2/3 * x = $32
Now, we can solve for x. To make it a little sillier, let's divide both sides of the equation by 2/3 by pretending we're dividing delicious chocolate bars:
x = $32 / (2/3)
And when you divide by a fraction, it's like multiplying by its reciprocal. So let's multiply by the reciprocal of 2/3, which is 3/2:
x = $32 * (3/2)
Multiplying $32 by 3/2, we get:
x = $48
Ta-da! John had a total of $48. But since he spent $32, he must have had $48 - $32 = $16 left after buying the pen and calculator. So, John had $16 left in his pocket to go buy some more "calculate-dorable" items!
To find out how much money John initially had, we need to determine the cost of the pen.
Let's assume the cost of the pen is x dollars.
According to the problem, the calculator costs 3 times as much as the pen, so the cost of the calculator is 3x dollars.
We are given that the calculator costs $24, so we can set up the equation:
3x = 24
To solve for x, let's divide both sides of the equation by 3:
x = 24 / 3
x = 8
Therefore, the cost of the pen is $8.
Since John spent 2/3 of his money on a pen and a calculator, the amount of money left is equal to 1/3 of his initial amount.
Let's assume John initially had y dollars.
The amount of money left is (1/3) * y.
We are given that the cost of the pen is $8, so the total amount spent on the pen and the calculator is 8 + 24 = $32.
We can set up the equation:
(1/3) * y = 32
To solve for y, let's multiply both sides of the equation by 3:
y = 32 * 3
y = 96
Therefore, John initially had $96.
The amount of money he had left is (1/3) * 96 = $32.
So, John had $32 left.
To find out how much money John had left, we need to figure out how much he spent in total for the pen and the calculator.
Let's say the cost of the pen is P dollars. We are given that the calculator cost 3 times as much as the pen, so the cost of the calculator is 3P dollars.
The total amount of money John spent on the pen and calculator is (P + 3P) = 4P dollars.
We are also given that John spent 2/3 of his money on the pen and calculator. This means that (4P) is equal to 2/3 of his total money.
To find the total money John has, we can divide (4P) by 2/3:
Total Money = (4P) / (2/3)
Total Money = (4P) * (3/2) (dividing by a fraction is the same as multiplying by its reciprocal)
Total Money = 6P
Since we know that the calculator cost $24, we can set up an equation using the cost of the calculator:
3P = $24
Now we can solve for P:
P = $24 / 3
P = $8
So, the cost of the pen is $8.
And to find out how much money John had left, we subtract the cost of the pen and calculator from the total money John had:
Money Left = Total Money - (Cost of Pen + Cost of Calculator)
Money Left = 6P - (P + 3P)
Money Left = 6P - 4P
Money Left = 2P
Substituting the value of P, we have:
Money Left = 2 * $8
Money Left = $16
Therefore, John had $16 left.