Knowee
Questions
Features
Study Tools

During a trip to the beach, Eli built sandcastles with 11 towers each, and Ashley built sandcastles with 4 towers each. Before leaving, they counted the towers and realized that they had each built the same number. What is the smallest number of towers each must have built?

Question

During a trip to the beach, Eli built sandcastles with 11 towers each, and Ashley built sandcastles with 4 towers each. Before leaving, they counted the towers and realized that they had each built the same number. What is the smallest number of towers each must have built?

🧐 Not the exact question you are looking for?Go ask a question

Solution

To solve this problem, we need to find the least common multiple (LCM) of the numbers 11 and 4. The LCM of two numbers is the smallest number that is a multiple of both numbers.

Step 1: List the multiples of each number.

Multiples of 11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176, 187, 198, 209, 220...

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188, 192, 196, 200, 204, 208, 212, 216, 220...

Step 2: Find the smallest number that appears in both lists.

The smallest number that appears in both lists is 44.

So, the smallest number of towers each must have built is 44.

This problem has been solved

Similar Questions

Anna has five circular discs of different sizes. She wants to build a tower of four discs so that each disc in her tower is smaller than the disc immediately below it. How many different towers could Anna build?4591220

At the beach, Garrett and his sister both built sandcastles and then measured their heights. Garrett's sandcastle was 9/10 of a foot tall and his sister's was 3/5 of a foot tall. How much taller was Garrett's sandcastle than his sister's?Write your answer as a fraction or as a whole or mixed number.

It takes thirty kids four hours to build a man-sized sand castle.How many kids were there if the same game took only two and a half hours?

Colton and Gage were building a castle together. Colton was 5 times as fast at building the castle than Gage. If it takes 120 blocks to build the castle, how many blocks did Colton build on the castle? A. 144 blocks B. 100 blocks C. 24 blocks D. 20 blocks

Anna has five circular discs that are all of different sizes. She wants to build a tower usingthree discs where a smaller disc always has to lie on top of a bigger disc.How many ways are there for Anna to build the tower?(A) 5 (B) 6 (C) 8 (D) 10 (E) 15

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.