A school sold 51 less children’s tickets than adult tickets for the school play. Adult tickets cost $1.25 and children’s tickets cost $0.75. A total of $129.75 was taken in. How many of each kind were sold? Show work pls

84 adult tickets and 33 child tickets were sold.

Step-by-step explanation:

Given that a school sold 51 less children's tickets than adult tickets for the school play, and adult tickets cost $ 1.25 and children's tickets cost $ 0.75, and a total of $ 129.75 was taken in, to determine how many of each kind were sold the following calculations must be done:

61 x 1.25 + 10 x 0.75 = 83.75

81 x 1.25 + 30 x 0.75 = 123.75

82 x 1.25 + 31 x 0.75 = 125.75

83 x 1.25 + 32 x 0.75 = 127.75

84 x 1.25 + 33 x 0.75 = 129.75

Thus, 84 adult tickets and 33 child tickets were sold.

i believe your answer is 99.7% of 7-year-old children are between 46.6 inches and 49.5 inches tall.

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.