AMC 10 Daily Practice Round 1

Complete problem set with solutions and individual problem pages

Problem 11 Medium

For {{2}^{a}}\times {{3}^{b}}\times {{7}^{c}}=1176, where a, b, and c are positive integers, what is the value of 2a+3b+7c?

  • A.

    21

  • B.

    23

  • C.

    25

  • D.

    28

  • E.

    30

Answer:B
Solution

1176={{2}^{3}}\times 3\times {{7}^{2}}, a=3, b=1, c=2, then 2a+3b+7c=23.

Related Problems
Problem 9 AMC 10 Daily Practice Round 1
Problem 10 AMC 10 Daily Practice Round 1
Problem 12 AMC 10 Daily Practice Round 1
Problem 13 AMC 10 Daily Practice Round 1
Think Academy Powered by ChatGPT