To find the equation that represents the relationship between the number of balloons filled and the total number of balloons purchased, we know that 210 is 70% of the total number of balloons.
Let's denote the total number of balloons purchased as \( x \).
The equation that can be formed from this information is:
\[ 210 = 0.7x \]
We can rewrite this in a way that relates it to the fractions provided:
\[ \frac{210}{x} = \frac{70}{100} \] or simplifying, \[ \frac{210}{x} = \frac{7}{10} \]
Now, let's examine the options provided:
- \(\frac{210}{3} \div \frac{100}{3} = \frac{70}{33.3}\) - This does not relate correctly.
- \(\frac{70 \times 3}{100 \times 3} = \frac{210}{300}\) - This is a correct fraction representation but doesn't relate back to finding \( x \) directly.
- \(\frac{100}{3} \div \frac{210}{3} = \frac{33.3}{70}\) - This is incorrect.
- \(\frac{70 \times 3}{210 \times 3} = \frac{210}{630}\) - This doesn't apply here.
Among the options, the most relevant is option 2 because it maintains the correct ratio of amounts reflecting the 70% relationship when mathematically aligned.
Thus, the equation that can be used to find the total number of balloons purchased is:
\[ \frac{70 \times 3}{100 \times 3} = \frac{210}{300} \]
This equation maintains the ratio of filled balloons to total balloons purchased. Therefore, the answer is:
Option 2: \[ \frac{70 \times 3}{100 \times 3} = \frac{210}{300} \]
3 answers