The ratio of the number of pencils to pens is 5 : 7. There are q pens. Express the number of pencils in terms of q.
5/7 q
p/q = 5/7
now just solve for p
To express the number of pencils in terms of q, we need to use the given ratio of pencils to pens, which is 5 : 7.
Let's define the number of pencils as p.
According to the ratio, the number of pencils to pens is 5 : 7, so we can set up the equation:
p / q = 5 / 7
To solve for p, we can cross multiply:
7p = 5q
Finally, we divide both sides of the equation by 7:
p = (5q) / 7
Therefore, the number of pencils in terms of q is (5q) / 7.
To express the number of pencils in terms of q, we can use the given ratio of pencils to pens, which is 5 : 7.
In a ratio, the two parts are proportional. This means that if we increase both numbers in the ratio by the same factor, the ratio remains the same.
Since the ratio is 5 : 7, we can write it as a fraction: 5/7.
Let's define the number of pencils as p. We know that the ratio of pencils to pens is 5 : 7, so we can set up the following equation:
p/q = 5/7
To express p in terms of q, we can multiply both sides of the equation by q:
p = (5/7)q
Therefore, the number of pencils in terms of q is p = (5/7)q.