At the end of the day, a fruit vendor counted and foutdoor she had 4/3 as many oranges as she had apples. She had 84 total apples and oranges. how many apples did she sell

X number of oranges

y number of apples

she had 4/3 as many oranges as she had apples

4/3x=y

x+y = 80

we solve the system

x+y = 80

4/3x-y=0

x+y = 80

4x-3y=0

7y=320=> y=45.7

and x=34.3

so we can assume that x=34 and y=46