Respuesta :

Shh shah ahahaiaia suasion
Set up two equalities with the given info using x and y as the number of questions in both

X + Y = 24
5x + 3y = 100

Now take the first equation and solve for one variable. We will start with X

X = 24 - Y

Now we have a value for x (24-y). Plug this value for x into the second equation

5(24-y) + 3y = 100

Now solve for y

120 - 5y + 3y = 100
120 -2y = 100
-2y = -20
Y= 10

Now we have the exact y value. Plug this value into the second equation to solve for x

5x + 3(10) = 100
5x + 30 = 100
5x = 70
X = 14

Now check your work by plugging both the value for x and y into the first equation

14 + 10 = 24
24 = 24

X = 14
Y = 10

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