Aman buys 3 burgers and 2 jumbo deluxe fries for $7.40. a woman buys one burger and 4 jumbo deluxe fries for $7.80. how much is the burger and how much are the fries? select one: a. burger = $1.40, fries = $1.60b. burger = $1.50, fries = $1.80c. burger = $2.80, fries = $2.00d. burger = $2.00, fries = $2.80

A. See photo for work.

Step-by-step explanation:

the cost of one burger is $1.4 and the cost of one fry is $1.6

Step-by-step explanation:

Let x represent the cost of one burger.

Let y represent the cost of one fry.

A man buys 3 burgers and 2 jumbo deluxe fries for $7.40. This means that

3x + 2y = 7.4 - - - - - - - - - 1

A woman buys one burger and 4 jumbo deluxe fries for $7.80. It means that

x + 4y = 7.8 - - - - - - - - -2

Multiplying equation 1 by 1 and equation 2 by 3, it becomes

3x + 2y = 7.4

3x + 12y = 23.4

Subtracting

- 10y = - 16

y = - 16/- 10 = 1.6

Substituting y = 1.6 into equation 2, it becomes

x + 4 × 1.6 = 7.8

x = 7.8 - 6.4 = 1.4

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.