A math test has 25 problems. Some are worth 2 points and some are worth 3 points. The test is worth 60 points. How many problems are worth 2 points and how many problems are worth 3 points?

There are 15 problems worth 2 points and there are 10 problems worth 3 points

Step-by-step explanation:

To realize this problem we will perform two equations

one will represent the number of problems and another the number of points

x would be the number of problems worth 2 points and y the amount worth 3 points

x + y = 25

(x * 2) + (y * 3) = 60

we clear the x of the first equation

x + y = 25

x = 25 - y

and replace the x with (25 - y) in the second equation

(x * 2) + (y * 3) = 60

( (25 - y) * 2) + (y * 3) = 60

50 - 2y + 3y = 60

-2y + 3y = 60 - 50

y = 10

Now we return to the first equation and replace y with 10

x = 25 - y

x = 25 - 10

x = 15

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

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