Question

Each small box has 12 granola bars and each large box has 30 granola bars. The camp bought 2 more large boxes than small boxes, which altogether had 144 granola bars. Determine the number of small boxes and the number of large boxes purchased

Answer 1

Answer:

The camp Purchased 2 small boxes and 4 large boxes.

Step-by-step explanation:

Let Number of Small box purchased be x.

Now Given:

The camp bought 2 more large boxes than small boxes.

Hence Number of large box purchased = $x+2$

Also Given:

Total Number of Granola bars = 144

Now Each small box has 12 granola bars and each large box has 30 granola bars.

Hence Total Number of Granola bars is equal to sum of number of granola bars in each small box multiplied by number of small box and number of granola bars in each large box multiplied by number of larger box.

Hence equation can be framed as.

$12x+30(x+2)=144$

Now we will use distributive property to solve the same we get;

$12x+30x+30\times2 =144$

Now Using multiplication propert we get;

$12x+30x+60=144$

Now Combining like terms we get;

$12x+30x=144-60$

Now By using Addition and Subtraction property we get;

$42x=84$

Now Using Division property we get;

$\frac{42x}{42}=\frac{84}{42}\\\\x=2$

Number of Small boxes purchased = 2

Number of Large boxes purchased = $x+2=2+2=4$

Hence The camp Purchased 2 small boxes and 4 large boxes.