A radio station gives away $15 to every 15th caller, $25 to every 25th caller, and a free concert ticket to every 100th caller. When will the station first give away all three prizes to one call

The station first give away all three prizes to 300th caller.

Step-by-step explanation:

A radio station gives away $15 to every 15th caller, $25 to every 25th caller, and free concert tickets to every 100th caller.

To get the answer we need to calculate L.C.M.  of 15, 25, 100.

15 = 3 x 5

25 = 5 x 5

100 = 2 x 2 x 5 x 5

LCM is = 2 x 2 x 3 x 5 x 5 = 300.

Hence, the station first give away all three prizes to 300th caller.

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

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step-by-step explanation: