Sara,Aliya and Ambreen share 480 marbles.If Aliya has twice as many marbles as Sara, and Ambreen has three times as many marbles as Sara,how many marbles does Sara have?
just write down in math what they told you in words. If
Sara has x marbles,
Aliya has y,
Ambreen has z, then
x+y+z = 480
y = 2x
z = 3x
Now get to work. Substitute in for y and z, and you have
x + 2x + 3x = 480
6x = 480
x = 80
Sarah has X marbles.
Aliya has 2x marbles.
Ambreen has 3x marbles.
x + 2x + 3x = 480,
X = 80 marbles.
To find out how many marbles Sara has, we can set up an equation using the given information.
Let's assume that Sara has x marbles. According to the given information:
- Aliya has twice as many marbles as Sara, so Aliya has 2x marbles.
- Ambreen has three times as many marbles as Sara, so Ambreen has 3x marbles.
Since Sara, Aliya, and Ambreen share a total of 480 marbles, we can add up their individual totals:
x (Sara's marbles) + 2x (Aliya's marbles) + 3x (Ambreen's marbles) = 480.
This equation represents the total number of marbles that all three of them have combined.
Simplifying the equation, we have:
6x = 480.
To find the value of x (the number of marbles Sara has), we can solve for x by dividing both sides of the equation by 6:
6x/6 = 480/6.
This simplifies to:
x = 80.
Therefore, Sara has 80 marbles.