Question

Your local radio station is having their yearly music player and concert ticket giveaway. For one minute, every (5ᵗextth) caller will win a music player, and every (7ᵗextth) caller will win concert tickets. You were just the first caller to win both a music player and concert tickets! What number caller were you? What is the coefficient in the expression (10x + 8)?

a) 25th caller; 10
b) 35th caller; 10
c) 21st caller; 8
d) 28th caller; 8

Answer 1

b) 35th caller; 10. The student was the 35th caller as that is the least common multiple of 5 and 7. The coefficient in the expression (10x + 8) is 10.

Step-by-step explanation:

The question asks to determine the number of the caller who won both a music player and concert tickets, as well as the coefficient in the expression (10x + 8). To find the caller number that satisfies both conditions, we need to find the least common multiple (LCM) of 5 and 7, as these are the intervals for winning each prize. Calculating the LCM of 5 and 7 gives us 35, which means the student was the 35th caller. As for the expression (10x + 8), the coefficient of x is simply the number that multiplies the variable x, which in this case is 10. Hence, the answer to the question is option b) 35th caller; 10.