1.4.1 - The school store is deciding which candy company to go with. CandyCrush Company charges $5.75 per box of candy plus a delivery fee of $30.Layla's Lollipops charges $2.75 per box of candy plus a delivery fee of $90. Howmany boxes of candy does it take until both companies charge the same amountof money? Write your answer in a complete sentence.

Question

Answered

Answer :

NelN691384 NelN691384 · Answer 1 · 2022-11-04T03:57:39-04:00

It will take 20 boxes until both companies charge the same amount of money

Here, we want to find the number of candy boxes that both companies will produce, such that the cost will be same.

Since we do not know the number of candies, we will need to represent it by a variable. Let the number of candies produced be x candies

Let us calculate the cost for Candy Crush company

For candy crush company, the cost is as follows;

$5.75 for 1 box, so for x boses, the cost will be x * 5.75 = $5.75x

Let us add the delivery fee to get the total cost.

That would be $5.75x + $30

Now; Let us calculate for Layla's Lollipops

Same x boxes

Cost of x boxes at $2.75 per box is 2.75 * x = $2.75

Adding the delivery cost, we have a total of

$2.75x + $90

So since the cost will be equal for x boxes, We equate the total costs for both companies;

Hence;

5.75x + 30 = 2.75x + 90

We proceed to collect like terms

5.75x - 2.75x = 90-30

3x = 60

divide both sides by 3;

x = 60/3

x = 20