2. Mama Bear ate 80% as much porridge as Papa Bear did. Baby Bear ate as much as Mama Bear did. Papa Bear ate 1.2 liters more porridge than Mama Bear did. How much porridge did the three bears eat, in all?

Respuesta :

Answer:

15.6 liters

Step-by-step explanation:

Let the porridge eaten by Papa bear be 'x' liters.

Given:

Mama Bear ate 80% as much porridge as Papa Bear did.

Baby Bear ate as much as Mama Bear did.

Papa Bear ate 1.2 liters more porridge than Mama Bear did

So, porridge eaten by Mama Bear = 80% of 'x' = [tex]0.80x[/tex]

Now, Baby Bear eats same amount as Mama Bear. So,

Porridge eaten by Baby Bear = [tex]0.80x[/tex]

Papa Bear ate 1.2 liters more than Mama Bear.

Framing in equation form, we get:

[tex]x = 1.2 + 0.80x[/tex]

[tex]x-0.80x=1.2[/tex]

[tex]0.20x=1.2[/tex]

[tex]x=\frac{1.2}{0.20}=6\ liters[/tex]

So, Papa Bear ate 6 liters of porridge.

Mama Bear ate = 0.80 × 6 = 4.8 liters

Baby Bear ate = 4.8 liters.

So, total porridge = Papa Bear + Mama Bear + Baby Bear

Total porridge eaten = 6 + 4.8 + 4.8 = 15.6 liters