Question

Santa is preparing for a

long night of delivering toys.
He buyš his team of reindeer
9 packages of carrots and 12
packages of celery for $312.
Chippy Elf also buys the
reindeer 1 package of carrots
and 3 packages of celery for
$68. What is the cost of a
package of celery?​

Answer 1

Cost of a package of celery = $20

Explanation:

Let, x=carrots and y= celery.

So from the given data we get 2 equations

Equation 1]:-

`9x+12y=312`------------(for 9 package carrot and 12 package celery)

Equation 2]:-

`1x+3y=68`---------------(for 1 package carrot and 3 package celery)

After solving equation 2 we get,

`x=68-3y`------------------------(equation 3)

Now substituting equation 3 in equation 1,

`9*(68-3y)+12y=312`

`612-27y+12y=312`

`612-15y=312`

`612-312=15y`

`300=15y`

∴
`y=(300)/(15)`

`y=20`------------------(equation 4)

Therefore cost of a package of celery = $20