There are 140 balloons in a packet.
The balloons are red or yellow or blue.
20% of the balloons are red.
2/7 of the balloons are yellow.
The ratio of the number of blue balloons to the number of green balloons is 5:4.
Workout the number of green balloons in the packet.



Answer :

Step-by-step explanation:

1. **Calculate the number of red balloons:**

- 20% of the balloons are red.

- Number of red balloons = 20% of 140 = \( \frac{20}{100} \times 140 = 28 \).

2. **Calculate the number of yellow balloons:**

- \(\frac{2}{7}\) of the balloons are yellow.

- Number of yellow balloons = \(\frac{2}{7} \times 140 = 40\).

3. **Calculate the total number of red and yellow balloons:**

- Total red and yellow balloons = 28 (red) + 40 (yellow) = 68.

4. **Calculate the number of blue balloons:**

- Total balloons = 140.

- Number of blue balloons = Total balloons - Red balloons - Yellow balloons = 140 - 68 = 72.

5. **Find the ratio of blue balloons to green balloons:**

- The ratio of blue to green balloons is 5:4.

6. **Set up the ratio equation:**

- Let the number of green balloons be \( g \).

- According to the ratio, \( \frac{5}{4} = \frac{72}{g} \).

7. **Solve for \( g \):**

- Cross-multiply to solve the ratio:

\[

5g = 4 \times 72

\]

\[

5g = 288

\]

\[

g = \frac{288}{5} = 57.6

\]

therefore Green balloons=58

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