High School

We appreciate your visit to You want to buy UAE flags for National Day You place two orders for small and large flags Your first order was 12 small flags. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

You want to buy UAE flags for National Day. You place two orders for small and large flags. Your first order was 12 small flags and 6 large flags. The total for this order was 432 AED. Your second order was 9 small flags and 3 large flags. The total for this order was 270 AED. What is the cost for each flag?

Answer :

Final answer:

To find the cost of each flag, we can set up a system of equations. Solving this system of equations, we find that each small flag costs 18 AED and each large flag costs 36 AED.

Explanation:

To find the cost of each flag, we need to set up a system of equations based on the given information. Let's assume the cost of each small flag is 'x' AED and the cost of each large flag is 'y' AED.

From the first order, we have:

  1. 12 small flags * 'x' AED + 6 large flags * 'y' AED = 432 AED

From the second order, we have:

  1. 9 small flags * 'x' AED + 3 large flags * 'y' AED = 270 AED

We can now solve this system of equations using substitution or elimination. Let's use the elimination method.

  1. 2 * (9 small flags * 'x' AED + 3 large flags * 'y' AED) = 2 * 270 AED
  2. 12 small flags * 'x' AED + 6 large flags * 'y' AED = 432 AED
  3. This simplifies to:
  1. 18 small flags * 'x' AED + 6 large flags * 'y' AED = 540 AED
  2. 12 small flags * 'x' AED + 6 large flags * 'y' AED = 432 AED

Subtracting the second equation from the first equation gives:

  1. (18 small flags - 12 small flags) * 'x' AED + (6 large flags - 6 large flags) * 'y' AED = 540 AED - 432 AED
  2. 6 small flags * 'x' AED = 108 AED
  3. 'x' AED = 108 AED / 6 small flags
  4. 'x' AED = 18 AED

So, each small flag costs 18 AED. Now, we can substitute this value of 'x' into any of the original equations to find the cost of each large flag. Let's use the first equation:

  1. 12 * 18 AED + 6 large flags * 'y' AED = 432 AED
  2. 216 AED + 6 large flags * 'y' AED = 432 AED
  3. 6 large flags * 'y' AED = 432 AED - 216 AED
  4. 6 large flags * 'y' AED = 216 AED
  5. 'y' AED = 216 AED / 6 large flags
  6. 'y' AED = 36 AED

So, each large flag costs 36 AED.

Thanks for taking the time to read You want to buy UAE flags for National Day You place two orders for small and large flags Your first order was 12 small flags. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

A small flag costs 18 AED and a large flag costs 36 AED.

Let us denote the price of a small flag as "s" and the price of a large flag as "l". Based on the information provided, we can then construct two equations:

1st Equation: [tex]12s + 6l = 432[/tex]

2nd Equation: [tex]9s + 3l = 270[/tex]

Equation 1 can be simplified by dividing both sides by 6:

[tex]2s + l = 72[/tex]

Equation 2 can also be simplified by dividing both sides by 3:

[tex]3s + l = 90[/tex]

We now have two equations with two variables that can be solved by elimination or substitution. Let us employ elimination:

[tex](3s + l) - (2s + l) = 90 - 72\ss = 18[/tex]

Now we can solve for l by substituting this value for s into either Equation 1 or Equation 2. Let's look at Equation 1:

[tex]2(18) + l = 72\sl = 36[/tex]

As a result, a small flag costs 18 AED, while a large flag costs 36 AED.

To know more about similar question visit:

brainly.com/question/20214688

#SPJ1