Question

I'd buy Christmas presents for children and adults the total is 126 after two weeks I spent 108 on six more children packages in for a dog that is just what is the price of each package

Answer 1

Corrected Question

I am donating packages for Christmas drive. After the first week, I spent 126 to donate three children packages and 8 adult packages. After two weeks I spent 108 to donate six children packages and 4 adult packages. What is the price of each type of package

Answer:

Adult package costs $12

Child's package costs $10.

Explanation:

Let the cost of a child's package =c

Let the cost of an adult package =a

First Purchase

Cost of three children packages and 8 adult package=$126

• 3c+8a=126

Second purchase

Cost of six children packages and 4 adult packages=$108

6c+4a=108

Multiply this equation by 2 to make the coefficient of a the same as the other equation

• 12c+8a=216

We solve the two resulting equations simultaneously

• 3c+8a=126

• 12c+8a=216

Subtract

-9c=-90

Divide both sides by -9

c=10

Substitute c=10 into 3c+8a=126 to solve for a

3(10)+8a=126

8a=126-30

8a=96

Divide both sides by 8

a=12

Therefore, an adult package costs $12 while a child's package costs $10.