Armando wants to raise funds at his school fair. He plans to charge 10 cents to pick marshmallows from his bag without
looking
He will give:
•20 cents to anyone who picks a Blue marshmallow.
•50 cents to anyone who picks a Yellow marshmallow.
•$1 to anyone who picks a White marshmallow.
•Anyone picking a Red or Green marshmallow will lose their money
There are as equal number of marshmallows of each color.
3a) In answer box, show work and explain why Armando will lose money
with this game. Justify using mathematics.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

48 / 6 = x

in this case, x will equal the amount of money in each card!

x therefore will be 8.

trent had $8 in each birthday card.