To find out how many difficult math problems Sahiti could solve in 35 minutes, we first determine her rate of solving problems.
Sahiti solves 5 difficult math problems in 7 minutes. To find her rate, we can calculate the number of problems she solves per minute:
\[ \text{Rate} = \frac{5 \text{ problems}}{7 \text{ minutes}} \approx 0.7142857143 \text{ problems per minute} \]
Now, to find out how many problems she can solve in 35 minutes, we multiply her rate by the time:
\[ \text{Number of problems} = \text{Rate} \times \text{Time} = \frac{5}{7} \times 35 \]
Calculating this:
\[ \frac{5}{7} \times 35 = \frac{5 \times 35}{7} = \frac{175}{7} = 25 \]
Thus, in 35 minutes, Sahiti can solve 25 difficult math problems.
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