Ludovica creates flashcards for her vocabulary words. She creates 3 more cards per verb than per noun. Ludovica creates 2 fewer than twice as many flashcards per verb as she creates per noun.

How many flashcards does Ludovica create per noun and how many per verb?

5 per noun, 8 per verb

Step-by-step explanation:

start by defining what each variable is

v = n+3

v = 2n-2

substitute v for one of the equations above

n+3 = 2n-2

subtract n from both sides

3 = n-2

add 2 to each side

5 = n

so there are 5 flashcards per noun

substitute 5 in for n in both equations

v = 5+3

and

v = 2 (5) - 2

solve both equations

v = 8 and v = 8

so there are 8 flashcards per verb