Answer:
Cost of one cheap golf ball is $0.75 and one expensive golf ball is $2.00
Step-by-step explanation:
Let,
x be the price of one cheap golf ball
y be the price of one expensive golf ball
According to given statement;
6x+4y=12.50 Eqn 1
4x+3y=9.00 Eqn 2
Multiplying Eqn 1 by 4
4(6x+4y=12.50)
24x+16y=50.00 Eqn 3
Multiplying Eqn 2 by 6
6(4x+3y=9.00)
24x+18y=54.00 Eqn 4
Subtracting Eqn 3 from Eqn 4
(24x+18y)-(24x+16y)=54.00-50.00
24x+18y-24x-16y=4.00
2y=4.00
Dividing both sides by 2
[tex]\frac{2y}{2}=\frac{4.00}{2}\\y=2.00[/tex]
Putting y=2.00 in Eqn 1
6x+4(2.00)=12.50
6x+8.00=12.50
6x=12.50-8.00
6x=4.50
Dividing both sides by 6
[tex]\frac{6x}{6}=\frac{4.50}{6}\\x=0.75[/tex]
Hence,
Cost of one cheap golf ball is $0.75 and one expensive golf ball is $2.00
