john buys apples for 8 rands each and tim buys oranges for 12 rands each. In total they buy 10 items for R104. how many oranges did tim buy
If x is the number of apples, y is the number of oranges
You have 2 equations:
x + y = 10
8x + 12y = 104 or
2x + 3y = 26 after reducing the equation
now double the first, then subtract from the second to get y
then go back into the first to get x
Thank you very much.
To find out how many oranges Tim bought, we need to set up an equation based on the given information. Let's denote the number of apples that John bought as 'x' and the number of oranges that Tim bought as 'y'.
1. John buys apples for 8 rands each, so the cost of his apples would be 8x rands.
2. Tim buys oranges for 12 rands each, so the cost of his oranges would be 12y rands.
According to the problem, the total cost of all the items they bought is 104 rands. Therefore, we can write the equation:
8x + 12y = 104
We also know that the total number of items they bought is 10. So we have another equation:
x + y = 10
Now, we have a system of two equations with two variables. We can solve this system to find the values of 'x' and 'y'.
Method 1: Substitution Method
- Solve the second equation for x: x = 10 - y
- Substitute this value of x into the first equation: 8(10 - y) + 12y = 104
- Solve this equation to find the value of y, which represents the number of oranges Tim bought.
- Once you find the value of y, substitute it back into the second equation to find the value of x (number of apples John bought).
Method 2: Elimination Method
- Multiply the second equation by 8 to make the coefficients of x in both equations the same (8x + 8y = 80).
- Subtract this new equation from the first equation to eliminate x: (8x + 12y) - (8x + 8y) = 104 - 80
- Solve this new equation to find the value of y (number of oranges Tim bought).
- Substitute this value of y into the second equation to find the value of x (number of apples John bought).
Either method will give you the answer to the question: how many oranges did Tim buy?