Question

All members of our painting team paint at the same rate. If $20$ members can paint a $1600$ square foot wall in $30$ minutes, then how long would it take for $15$ members to paint a $1800$ square foot wall, in minutes?

Answer 1

To find how long it would take for 15 members to paint a 1800 square foot wall, we can set up a proportion using the given information and solve for the unknown variable.

Step-by-step explanation:

To find the answer, we can set up a proportion using the given information. Since all members of the painting team paint at the same rate, we can say that 20 members can paint 1600 square feet in 30 minutes.

This can be written as 20/1600 = 15/x, where x is the number of minutes it would take for 15 members to paint 1800 square feet. We can solve this proportion by cross-multiplying: 20x = 15 * 1600.

Dividing both sides by 20 gives us x = (15 * 1600) / 20 = 1200 minutes.