Question

Write and solve an equation to answer the question.A box contains orange balls and green balls. The number of green balls is nine more than five times thenumber of orange balls. If there are 123 balls altogether, then how mmany green balls and how manyorange balls are there in the box?There are_____orange balls and____green balls in the box.

Answer 1

Let

x -----> number of orange balls

y -----> number of green balls

we have that

x+y=123 -----> x=123-y ------> equation A

y=5x+9 -----> equation B

Solve the system of equations

substitute equation A in equation B

y=5(123-y)+9

solve for y

y=615-5y+9

y+5y=615+9

6y=624

y=104

Find out the value of x

x=123-104

x=19

therefore

There are 19 orange balls and 104 green balls in the box