9. a vendor is selling coke and sprite. he sold three times as many cokes as sprites. if
he sells 76 sodas in all, how many cokes were sold? how many sprites?

The number of sprites old   =  19

The number of cokes sold   = 57

Step-by-step explanation:

Let us assume the number of sprites sold = m

So, the number of cokes sold =  3  times (Number of sprites) =3 x (m) = 3 m

Also, the total number of sodas sold  = 76

⇒ The number of (Sprites + coke) sold = 76

or, m +  3  m = 76

⇒ 4  m = 76

⇒ m = 76 / 4 = 1 9

or, m = 19

Hence the number of sprites old  = m = 19

And the number of cokes sold  =  3 m = 3  x 19 = 57

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!