Jason spent 1/3 of his money on a basketball. He spent 3/4 of the
remaining money on a badminton racket. He spent another $5 on his
lunch and had 1/8 of the original amount of money left. How much did this
badminton racket cost?
cost of racket ... (1 - 1/3) * 3/4 = 1/2 of total money (m)
m - m/3 - m/2 - 5 = m/8
solve for m , then substitute back to find the cost of the racket
60 is the answer
Ok
(1 - 1/3) * 3/4 = 1/2
m - m/3 - m/2 - 5 = m/8
m = 120
1/2 * 120 = 60
To find out how much the badminton racket cost, we need to follow the steps given in the problem.
Let's assume Jason had x amount of money.
Step 1: Jason spent 1/3 of his money on a basketball.
This means he had 2/3 of his money left.
Amount remaining after buying the basketball = (2/3) * x
Step 2: Jason spent 3/4 of the remaining money on a badminton racket.
This means he had 1/4 of the remaining money left.
Amount remaining after buying the badminton racket = (1/4) * (2/3) * x
Step 3: Jason spent another $5 on his lunch.
This means he had 1/4 of the remaining money minus $5 left.
Amount remaining after spending on lunch = (1/4) * (2/3) * x - $5
Step 4: Jason had 1/8 of the original amount of money left.
According to the problem, the amount remaining is 1/8 of the original amount.
Therefore, (1/4) * (2/3) * x - $5 = 1/8 * x
Now we can solve this equation to find the value of x:
(1/4) * (2/3) * x - $5 = (1/8) * x
Multiplying everything by 8 to remove the fractions:
(8/4) * (2/3) * x - 8 * $5 = (8/8) * x
(2/3) * x - 40 = x
2x/3 - x = 40
(2x - 3x)/3 = 40
-x/3 = 40
-x = 3 * 40
-x = 120
x = -120
Since it doesn't make sense to have a negative amount of money, we need to re-evaluate the problem or assume there might be an error in the information provided.
dear Anonymous,
please let the poster participate in the solution...so they can learn from it
thank you