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Tom has 5 green cubes for every 3 yellow cubes. He has 16 cubes in total. Draw a diagram to represent this.

33) Tom has 55 green cubes for every 33 yellow cubes.\newlineHe has 1616 cubes in total.\newlineDraw a diagram to represent this.

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Q. 33) Tom has 55 green cubes for every 33 yellow cubes.\newlineHe has 1616 cubes in total.\newlineDraw a diagram to represent this.
  1. Ratio Calculation: Tom has 55 green cubes for every 33 yellow cubes, so the ratio of green to yellow cubes is 5:35:3.
  2. Cube Calculation: Let's say Tom has xx sets of these cubes. Then he has 5x5x green cubes and 3x3x yellow cubes.
  3. Equation Formation: The total number of cubes is 1616, so we can write the equation 5x+3x=165x + 3x = 16.
  4. Combine Like Terms: Combine like terms to get 8x=168x = 16.
  5. Solve for x: Divide both sides by 88 to find x, so x=168x = \frac{16}{8}.
  6. Calculate xx: Calculate xx, which is x=2x = 2.
  7. Number of Sets: Now we know Tom has 22 sets of the 5:35:3 ratio cubes.
  8. Green Cubes Calculation: Multiply the number of sets by the ratio to find the number of green cubes: 5×2=105 \times 2 = 10 green cubes.
  9. Yellow Cubes Calculation: Multiply the number of sets by the ratio to find the number of yellow cubes: 3×2=63 \times 2 = 6 yellow cubes.
  10. Draw Diagram: Now let's draw a diagram to represent this. We can draw 1010 green cubes and 66 yellow cubes in a pattern that shows the 5:35:3 ratio for each set.

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