Sam, Trish, and Shanti are making signs for the spring dance. Sam can make a sign in 3/4 of an hour, Trish can make a sign in 2/3 of an hour, and Shanti can make a sign in 3/5 of an hour.
a. How many complete signs can each person make in 4 hours?
54
What about shanti
Sam: 4 ÷ (3/4) = 4 * 4/3 = 16/3 or 5 complete signs
Do the others in like wise.
To find out how many complete signs each person can make in 4 hours, we need to divide the total time available (4 hours) by the amount of time it takes for each person to make one sign.
For Sam:
We know that Sam can make 1 sign in 3/4 of an hour. So, to find out how many signs Sam can make in 4 hours, we will divide 4 by 3/4:
4 ÷ 3/4 = 4 * 4/3 = 16/3 = 5 and 1/3
Therefore, Sam can make 5 complete signs in 4 hours.
For Trish:
Similarly, Trish can make 1 sign in 2/3 of an hour. So to find out how many signs Trish can make in 4 hours, we will divide 4 by 2/3:
4 ÷ 2/3 = 4 * 3/2 = 12/2 = 6
Therefore, Trish can make 6 complete signs in 4 hours.
For Shanti:
Shanti can make 1 sign in 3/5 of an hour. So to find out how many signs Shanti can make in 4 hours, we will divide 4 by 3/5:
4 ÷ 3/5 = 4 * 5/3 = 20/3 = 6 and 2/3
Therefore, Shanti can make 6 complete signs in 4 hours.
To summarize:
- Sam can make 5 complete signs in 4 hours.
- Trish can make 6 complete signs in 4 hours.
- Shanti can make 6 complete signs in 4 hours.