How many marbles of each colour
Sophie has a box of red, blue, and green marbles. She knows that:
- There are 3 times as many red marbles as green marbles.
- There are 12 more blue marbles than green marbles.
- Altogether, she has 72 marbles.
How many marbles of each colour does Sophie have?
Let the number of green marbles = x
ReplyDeleteThen:
Red marbles = 3x
Blue marbles = x + 12
Now total them:
x (green) + 3x (red) + x + 12 (blue) = 72
Combine like terms:
5x + 12 = 72
Subtract 12 from both sides:
5x = 60
Divide by 5:
x = 12
Now plug it back in:
Green marbles = 12
Red marbles = 3 × 12 = 36
Blue marbles = 12 + 12 = 24
Final Answer:
Green marbles: 12
Red marbles: 36
Blue marbles: 24