Onece a person had gone for a horse racing area. instead of counting the number of humans an horses, he counted 74 heads and 196 legs. how many humans and horses were there? a. 37 humans and 98 horses b. 24 horses and 50 humans c. 31 horses and 74 humans d. 24 humans and 50 horses

humans: x

horses: y

Heads: 1x + 1y =  74     ⇒   -2(1x + 1y =  74)    ⇒    -2x -2y = -148

Legs:   2x + 4y = 196   ⇒     1(2x + 4y = 196)   ⇒   2x + 4y = 196

                                                                                        2y = 48

                                                                                           y = 24

Heads: 1x + 1y =  74   ⇒   x + (24) = 74   ⇒   x = 50

humans = 50, horses = 24

you already gave the answer

step-by-step explanation:

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15