If I had three times as many marbles as my friend and toghter we had 48 marbles how many marbles do I have?
48/3=16?
Nope.
x + 3x = 48
Solve for x.
Let your friends marbles = x
Your marbles plus theirs is equal to 48.
You have three times as many marbles as her... 3x.
48=3x+x
factor
48=x(3+1)
48=4x
x=12
your friend has 12 marbles and you have 12*3 marbles or 36.
To solve the problem, you need to follow a clear step-by-step process. Let's break it down:
1. Let's say you have "x" number of marbles.
2. Based on the information given, your friend has one-third of the number of marbles you have, so your friend has (1/3)x marbles.
3. The problem states that together you have 48 marbles, so you can set up an equation: x + (1/3)x = 48.
4. To combine the fractions, you need a common denominator. Multiply the fraction (1/3) by 3/3 to get (3/9)x.
5. Simplify the equation: (1 + 3/9)x = 48.
6. Combine the fractions: (9/9 + 3/9)x = 48.
7. Simplify further: (12/9)x = 48.
8. Divide both sides of the equation by (12/9) to isolate x: x = 48 / (12/9).
9. To divide fractions, multiply the numerator by the reciprocal of the denominator: x = 48 * (9/12) = 36.
10. Therefore, you have 36 marbles.
So, your answer is not 16 marbles. You have 36 marbles.