Question

Liberty sold 7 times more lemonades than Aiden. Kaidyn sold 3 times as many lemonades as Aiden. Altogether, they sold 110 lemonades. How many lemonades did Kaidyn sell?

Answer 1

EXPLANATION

Let's consider the facts:

Liberty sold -----> 7* Aiden lemonades

Kaidyn sold -----> 3 * Aiden lemonades

Total sold = 110 lemonades

So, let x be the number of lemonades Aiden sold, y the number of lemonades Liberty sold and z the number of lemonades Kaidyn sold, whe get the following relationships:

(1) y = 7x

(2) z = 3x

(3) x + y + z = 110

We have a system of equations:

Substituting y=7x and z=3x in (3):

x+ 7x + 3x = 110

Adding like terms:

11x = 110

Dividing both sides by 11:

x= 110/11

Simplifying:

x = 10

Sibstituting x=10 in (2):

z=3*10 = 30

As z represents the number of lemonades Kaidyn sold, we can assevere that she sold 30 lemonades.