19) Planets A, B, and C orbit a certain star once every 2, 7, and 12 months, res

Question

19) Planets A, B, and C orbit a certain star once every 2, 7, and 12 months, respectively. If the three planets are now in the same straight line, what is the smallest number of months that must pass before they line up again? 20) A brick layer is hired to build three walls of equal length. He has bricks which are 9 inches, 27 inches, and 21 inches long. He plans to build one wall out of each type. What is the shortest length of wall possible? 21) Mark has 153 hot dogs and 261 hot dog buns. He wants to put the same number of hot dogs and hot dog buns on each tray. What is the greatest number of trays Mark can use to accomplish this? 22)1f Saturday is-your start day, what day wil litbe 1 year, 26 days from Saturday? (Assume. no leap year)

Explanation / Answer

Question 19

Here we have to calculate the least common multiple of 2, 7 and 12.

Which is = 2 * 7 * 2 * 3 = 84 months

Question 20

Here also we have to find the least common multiple of 9 inch, 27 inch and 21 inch.

so factors of

9 = 3 * 3

27 = 3 * 3 * 3

21 = 3 * 7

so here LCM of these 3 numbers = 3 * 3 * 3 * 7 = 189

Question 21

Here we have to find the Highest common factor of 153 which has factors are

153 = 17 * 9

261 = 29 * 9

so here we have to put 9 hot dogs and hot buns in one tray.

Question 22

Number of days are = 365 + 26 = 391

so here dividing 391/7 we get the remainder is 6

so that day would be friday.

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.