PLEASE HELP ME

Question

A local business wants to donate $3000 in graduation scholarships. They are looking to split this amount into a math award and a science award, and want the math award to be worth 2 3 of the science award. Part A: Write a system of equation to model this situation. Let x be the amount of the math award and y be the amount of the science award. Part B: Determine the amount for each award and explain how you determined your answer.

Answer 1

M= (2/3)S

M+S = 5,000

(2/3)S + S = 5000

5S/3 = 5000

S = (3/5)5000 = $3000 for science

M = $2000 for math