1. Ken bought 20 boxes of oranges. There were 12 oranges in a box. He gave away 3/8 of the oranges to Ben and kept the rest. How many oranges did Ken have left?
2. Stanley had a box of apples. He sold 1/2 of the apples and gave away 1/2 of the remainder. He was left with 30 apples in the end. How many apples had Stanley at first?
#2: 120 apples I believe.
Because half of 120 = 60 & half of 60 = 30.
1. 20 * 12 * (1-3/8) = 240 * 5/8 = ?
2. Process
x - 1/2 -1/4 = x -3/4 = 1/4x = 30
1. Total oranges → 20 × 12 = 240 Oranges given to Ben → 3/8 × 240 = 90
Oranges kept for himself → 240 – 90 = 150
Ken had 150 oranges left.
2. 1/2 of remainder = 30 2
Remainder → 2 × 30 = 60
1/2 of total → 60
Total → 2 × 60 = 120
He had 120 apples at first.
gave away half and a quarter (half of half) so has 1/4 left
(1/4) a = 30
a = 120
To solve these problems, let's break them down step by step:
1. To find out how many oranges Ken had left, we need to subtract the oranges he gave away from the total number of oranges he bought.
Step 1: Multiply the number of boxes by the number of oranges in each box.
20 boxes * 12 oranges/box = 240 oranges
Step 2: Calculate how many oranges Ken gave away by finding 3/8 of the total number of oranges.
240 oranges * 3/8 = 90 oranges
Step 3: Subtract the number of oranges Ken gave away from the total number of oranges to find how many he had left.
240 oranges - 90 oranges = 150 oranges
Therefore, Ken had 150 oranges left.
2. Similar to the first problem, let's find the number of apples Stanley had initially.
Step 1: Let's assume "x" represents the number of apples Stanley had at first.
Step 2: He sold 1/2 of the apples, which means he has (x/2) apples remaining.
Step 3: He gave away 1/2 of the remainder, which is (1/2)(x/2) = (x/4) apples remaining.
Step 4: Finally, we know he was left with 30 apples, so we can set up the equation (x/4) = 30.
Step 5: Solve the equation for x:
x = 30 * 4
x = 120
Therefore, Stanley had 120 apples initially.