Your job is to sort and sack marbles for sale. a bag contains 120 marbles, some red and some blue. if there are 80 blue marbles, what is the ratio of red to blue marbles? a) 1: 2 b) 1: 3 c) 2: 1 d) 2: 3

Option A is correct

1 : 2 is the ratio of red to blue marbles

Step-by-step explanation:

Let the number of blue marbles be x and the number of red marbles be y.

As per the statement:

A bag contains 120 marbles, some red and some blue.

⇒Total number of marbles = x+y

⇒               ......[1]

It is also given that if there are 80 blue marbles.

⇒x = 80

Substitute the value of x in [1] we have;

Subtract 80 from both sides we have;

y = 40

We have to find the ratio of red to blue marbles

The ratio of red to blue marbles = = 1 : 2

Therefore, the ratio of red to blue marbles is, 1 : 2.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions