Daniel spent 2/5 of his money on books, 1/3 of the remaining money on food and he has left with $28. how much money did he have before the shopping?

Step-by-step explanation:

Let us assume that Daniel had total money before shopping = $x.

He spent  of total money on books, that is = $  of x=  x.

Remaining money with him = (x- x) .

And spent 1/3 of the remaining that is 1/3 of (x-2/5x)  = 1/3(x- x) on food.

Money left with him = $28.

Therefore, we can setup and equation.

Money spent on books + Money spent on food + Remaining money = Total money  before shopping.

Substituting above values in equation, we get

 x +   (x- x) + 28 = x.

Subtracting x- x = - = , we get

x +  () + 28 = x.

Multiplying (), we get

Therefore,

x ++28=x

x +28 =x.

Subtracting on both sides, we get

x + 28- x =x- x

28 =   -

28 = .

Multiplying both sides by 5, we get

28×5 = 5×.

140 =2x.

Dividing both sides, by 2, we get

x=70.

idc

step-by-step explanation:

idk

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