Sunny received 90 on his math test. If he got x number of 3 point problems and y number of 5 point problems correct, write an equation for y in terms of x. Also write an equation for x in terms of y
3x + 5y = 90
y = (90-3x)/5
x = (90-5y)/3
To find the equation for y in terms of x, we need to understand the scoring system.
Let's assume that Sunny received a perfect score on the 3-point problems and the 5-point problems. If he got x number of 3-point problems correct, he would earn 3x points. Similarly, if he got y number of 5-point problems correct, he would earn 5y points.
Since Sunny received a total of 90 points on his math test, we can form the equation:
3x + 5y = 90
Now, let's find the equation for x in terms of y. The same logic applies here. If Sunny got y number of 5-point problems correct, he would earn 5y points. And as previously mentioned, Sunny received a total of 90 points on his test. So we can form the equation:
5y = 90 - 3x
Now, we can rearrange this equation to solve for x:
3x = 90 - 5y
Dividing both sides by 3:
x = (90 - 5y) / 3