Question

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 260 AED. What is the cost for each flag?

Answer 1

Explanation:

use "s" to represent the cost of a small flag and "l" to represent the cost of a large flag. We can set up a system of equations to solve for s and l:

12s + 6l = 432

9s + 3l = 260

We can simplify the second equation by dividing both sides by 3:

3s + l = 86

Now we can use substitution to solve for s. We can isolate l in the second equation:

l = 86 - 3s

Then we can substitute this expression for l into the first equation:

12s + 6(86 - 3s) = 432

Simplifying and solving for s, we get:

12s + 516 - 18s = 432

-6s = -84

s = 14

So the cost of a small flag is 14 AED. We can substitute this value back into the simplified second equation to solve for the cost of a large flag:

3(14) + l = 86

l = 44

Therefore, the cost of a large flag is 44 AED and the cost for the small flag is 14 AED