Three Linear Variables​

1 answer
Question:

Three Linear Variables​

Answers

Answer:23 yellow, 30 pink and 12 blue ballsStep-by-step explanation:Let the number of yellow, pink, blue, and black balls be y, p, b, and x respectively.From 1st sentence:y +p +b +x= 90"60 of them are not pink" ➜ y +b +x= 60Given that 25 are black, x= 25."67 of them are not yellow"➜ p +b +x= 67Subst. x= 25 into the above equations:y +p +b +25= 90y+ p +b= 65 -----(1)y +b +25= 60y +b= 35 -----(2)p +b +25= 67p +b= 42 -----(3)I will rewrite the 3 equations for better clarity:y +p +b= 65 -----(1)y +b= 35 -----(2)p +b= 42 -----(3)(1) -(2):p= 65 -35p= 30(1) -(3):y= 65 -42y= 23Substitute p= 30 and y= 23 into (1):23 +30 +b= 65b= 65 -53b= 12Thus, there 23, 30 and 12 yellow, pink and blue balls respectively.

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