A boy spent half of his money on sweet and one-quater on kola nut.if he has #6 left, how much does he have initially
1/2 + 1/4 = 3/4 spent. So,
1/4 x = 6
Let's break down the information given:
1. The boy spent half of his money on sweets.
2. He spent one-quarter of his money on kola nut.
3. He has ₦6 left.
Let's solve this step-by-step:
Step 1: Let's assign a variable to the boy's initial amount of money. Let's call it "x".
Step 2: The boy spent half of his money on sweets, which means he has (1 - 1/2) = 1/2 of his money left.
Step 3: He spent one-quarter of his money on kola nut, leaving him with (1/2 - 1/4) = 1/4 of his money.
Step 4: We know that the boy has ₦6 left, which is equal to 1/4 of his initial amount. So, we can set up an equation:
1/4 * x = ₦6
Step 5: To solve for x, we can multiply both sides of the equation by 4:
4 * (1/4 * x) = 4 * ₦6
x = ₦24
Therefore, the boy initially had ₦24.
To find out how much he initially had, we can follow these steps:
1. Let's assume the initial amount of money he had is "X" in Nigerian Naira (represented as #).
2. He spent half of his money on sweets, so he spent X/2 on sweets.
3. He spent one-quarter of his money on kola nut, so he spent X/4 on kola nut.
4. After spending on sweets and kola nut, he has 6 Naira left.
5. So, we can write the equation: X - (X/2) - (X/4) = 6.
- The term X/2 represents the amount he spent on sweets.
- The term X/4 represents the amount he spent on kola nut.
- Subtracting these amounts from X gives us the money he has left.
6. Now we can solve the equation to find the value of X.
Let's solve the equation:
Combining like terms on the left side of the equation:
(4X - 2X - X) / 4 = 6
Simplifying:
(X / 4) = 6
Multiplying both sides by 4 to isolate X:
X = 6 * 4
X = 24
Therefore, the boy initially had 24 Naira.