Jennie has 20 points.
Step-by-step explanation:
to Ada's points is 4 to 7. If Ada has 15 more points than Jennie, how many points does Jennie have?
To solve this problem, we can use proportions. We know that the ratio of Jennie's points to Ada's points is 4 to 7, so we can set up the following proportion:
4/7 = Jennie's points / Ada's points
We also know that Ada has 15 more points than Jennie, so we can add 15 to both sides of the proportion to represent this:
4/7 = Jennie's points / (Jennie's points + 15)
Next, we can cross-multiply to solve for Jennie's points:
4 * (Jennie's points + 15) = 7 * Jennie's points
4 * Jennie's points + 60 = 7 * Jennie's points
We can then subtract 4 * Jennie's points from both sides to isolate the variable:
60 = 3 * Jennie's points
Finally, we can divide both sides by 3 to find the value of Jennie's points:
Jennie's points = 60/3 = 20
Thus, Jennie has 20 points.