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

Answer:

Cost of a package of celery = $20

Step-by-step 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,

$9\times(68-3y)+12y=312$

$612-27y+12y=312$

$612-15y=312$

$612-312=15y$

$300=15y$

∴$y=\frac{300}{15}$

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

Therefore cost of a package of celery = $20