As baseball fans enter the stadium, a free ball is given to every 21st spectator and a cap is given to every 27th spectator. Which spectator would be the first to receive both a ball and a cap?

21, 42, 63, 84, 105, 126, 147 . . .

Keep adding 21 to the previous number

27, 54, 81, 108, 135, 162 . . .
Keep adding 27 to the previous answer.

Stop when multiple of 21 and a multiple of 27 are the same.

Thank you Ms. Sue. That was a very helpful tip.

You're welcome, Mbaintu.

how do you round the number 128 to the nearest tenths place

do you mean tens. there is no decimal point for it to be tenths.

Ms. Sue, is the correct answer the 189th spectator?

on a map an inch represents 200 miles how far is 3 1/4 inches?

do 200*3.25 and that should probably give you the correct answer, which is 650.

how many miles are in 12 inches ms.soe

To determine which spectator would be the first to receive both a ball and a cap, we need to find the least common multiple (LCM) of 21 and 27. The LCM is the smallest number that both 21 and 27 divide into evenly.

To find the LCM, we can start by listing the multiples of each number until we find a common multiple:

Multiples of 21: 21, 42, 63, 84, 105, 126, 147, 168, 189, 210, ...

Multiples of 27: 27, 54, 81, 108, 135, 162, 189, 216, 243, 270, ...

From the lists above, we can see that 189 is the smallest number that both 21 and 27 divide into evenly. Therefore, the 189th spectator would be the first to receive both a ball and a cap.