andrew is searching for a cup and discovers that he has 20 plates for every 5 pairs of cups. if he has 40 plates, how many pairs of cups does he have?
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5/20 = x/40
To solve for x, multiply both sides by 40, then divide the left side by 20.
the answer is 10 right
Right
To find out how many pairs of cups Andrew has, we can use the information that he has 20 plates for every 5 pairs of cups.
First, let's create a ratio based on the given information:
20 plates : 5 pairs of cups
Next, we need to find the ratio of plates to pairs of cups when Andrew has 40 plates. We can set up a proportion using the ratio we created:
20 plates / 5 pairs of cups = 40 plates / x pairs of cups
To solve for x (the number of pairs of cups), we can cross-multiply:
20 * x = 5 * 40
Now we can solve the equation:
20x = 200
Dividing both sides of the equation by 20, we get:
x = 10
Therefore, Andrew has 10 pairs of cups.