Answer:
D
Step-by-step explanation:
First, we need to "undo" the 3/5 fraction by dividing both sides of the equation by 3/5. This is basically the same as multiplying both sides by 3/5's reciprocal, 5/3:
[tex]\frac{5}{3} *B=A-10[/tex]
Now, we just add 10 to both sides to "undo" the subtraction part:
[tex]A=\frac{5}{3} B+10[/tex]
We see that all the answer choices are fractions, so we need to find a common denominator for the term (5/3)B and the term 10; we can just use 3 as a denominator. To make 10 have a denominator of 3, we can write 10 as [tex]\frac{10}{1}[/tex] and multiply the numerator and denominator by 3: [tex]\frac{10*3}{1*3}=\frac{30}{3}[/tex] . Now, we replace 10 with 30/3:
A = [tex]\frac{5B+30}{3}[/tex]
Thus, the answer is D.
Hope this helps!
