Question

Alex and Jordan asked some friends about their favorite colors. Alex found that 4 out of 6 people prefer blue, and Jordan found that 8 out of 12 people prefer green. Is the ratio of friends who chose blue to the total asked equivalent to the ratio of friends who chose green to the total asked? Explain.

Answer 1

Yes, the ratio of friends who chose blue to the total asked is equivalent to the ratio of friends who chose green to the total asked.

Explanation:

This can be determined as follows:

For Alex, we have:

Number of people who prefer blue = 4

The total asked = 6

Therefore, the ratio of friends who chose blue to the total asked can be calculated as follows:

Ratio of friends who chose blue to the total asked = Number of people who prefer blue / The total asked = 4 / 6 = 0.67

For Jordan, we have:

Number of people who prefer green = 8

The total asked = 12

Therefore, the ratio of friends who chose green to the total asked can be calculated as follows:

Ratio of friends who chose green to the total asked = Number of people who prefer green / The total asked = 8 / 12 = 0.67

Conclusion

From the calculations above, we have:

Ratio of friends who chose blue to the total asked = Ratio of friends who chose green to the total asked = 0.67

Since the ratio of friends who chose blue to the total asked is equal to the ratio of friends who chose green to the total asked is equal to 0.67, it therefore implies that the ratio of friends who chose blue to the total asked is equivalent to the ratio of friends who chose green to the total asked.