Final answer:
By setting up the equation (3/5)t = 36 and multiplying both sides by the reciprocal of 3/5, we find that there are 60 guests at the party in total.
Step-by-step explanation:
The student's question involves finding the total number of guests at a party based on the given information that three-fifths of them are children and there are 36 children in total. To find the total number of guests (t), we can set up the equation:
\(\frac{3}{5}t = 36\)
To solve for t, multiply both sides of the equation by the reciprocal of three-fifths, which is five-thirds:
\(t = 36 \times \frac{5}{3}\)
Calculating the product gives us t:
t = 60
Therefore, the total number of guests at the party is 60.