Question

Last Sunday, we noticed that at our dance show 1,000 tickets were sold.For an adult, the cost of a ticket was $2 and for a child it was $1. When allwas said and done, we had a total amount of $1,850. Write the number ofadult tickets and children's tickets that were sold on Sunday.

Answer 1

A+c=1,000
2a+1c=$1850

Multiply top equation by 2 so you can get 2 numbers that cancel each other out
a+c=1,000 (2)

2a+2c=2,000
2a+1c=$1,850

2a-2a=0
cancel out 2a's by subtraction
and since you used subtraction, subtract the rest of the equation.

2c-1c=C
2,000-1850=150

C=150

*150 child tickets sold*

Same process, but for C (though is not necessary because the numbers already cancel out)

a+c=1,000
2a+c=$1850

c-c=0

Again, since you used subtraction, subtract again

1a-2a= -a
1,000-1850= -850

since both are negative, multiply by -1 to make them positive

a=850

*850 adult tickets sold*

850+150= 1,000
(check work)

Answer 2

Answer:

a+c=1,000

2a+1c=$1850

Multiply top equation by 2 so you can get 2 numbers that cancel each other out

a+c=1,000 (2)

2a+2c=2,000

2a+1c=$1,850

2a-2a=0

cancel out 2a's by subtraction

and since you used subtraction, subtract the rest of the equation.

2c-1c=C

2,000-1850=150

C=150

*150 child tickets sold*

Same process, but for C (though is not necessary because the numbers already cancel out)

a+c=1,000

2a+c=$1850

c-c=0

Again, since you used subtraction, subtract again

1a-2a= -a

1,000-1850= -850

since both are negative, multiply by -1 to make them positive

a=850

*850 adult tickets sold*

850+150= 1,000

(check work)

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Explanation: