Ashley is the manager of a theater. She has $240 to spend on posters to advertise a new play. If she buys small posters only, Ashley can print 48 posters for $240. If she buys large posters only, Ashley can print 30 posters for $240.
A. Write an equation that can be used to find all combinations of small posters (x) and large posters (y) Ashley can buy for $240.
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To find the equation that can be used to find all combinations of small posters (x) and large posters (y) Ashley can buy for $240, we can set up a linear equation.
Let x be the number of small posters and y be the number of large posters.
From the given information, we know that the cost of 48 small posters is $240, and the cost of 30 large posters is also $240.
Therefore, we can set up the following equation:
48x + 30y = 240
So, the equation that can be used to find all combinations of small posters (x) and large posters (y) Ashley can buy for $240 is 48x + 30y = 240.
To find the equation that represents the combinations of small (x) and large (y) posters Ashley can buy for $240, we need to set up a system of equations.
Let's assign the cost of a small poster as S and the cost of a large poster as L.
From the given information, we know that 48 small posters cost $240, so we can write the equation:
48S = 240
Similarly, we know that 30 large posters cost $240, so we can write the equation:
30L = 240
Now, to represent the total cost of buying x number of small posters and y number of large posters, we can multiply the respective amounts by their costs:
xS + yL = 240
So, the equation that represents the combinations of small and large posters Ashley can buy for $240 is:
48x + 30y = 240