High School

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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?

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

Answer :

Answer:

Step-by-step 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

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Rewritten by : Barada