Lydia has 5 dogs. 2 of the dogs eat 2kg (combined) of food per week. 2 other dogs eat 1kg (combined) per week. The fifth dog eats 1kg of food every three weeks. How much food will the dogs have eaten altogether in 9 weeks?

Question

This whole problem is what I don’t get

Savannah Anderson · Accepted Answer

Here is the answer below.

Let's start with the first two dogs. They eat #2# kg of food per week, so for #9# weeks #= "2 kg" xx 9 = "18 kg"#. The other two dogs eat #1# kg food per week, so for #9# weeks #= "1 kg" xx 9 = "9 kg"#. The fifth dog eats #1# kg every 3 weeks, so after #9# weeks #= "1 kg" + "1 kg" + "1 kg" = "3 kg"#. So the total food consumed #=# the sum of all of them. So the total food consumed #= "18 kg" + "9 kg" + "3 kg" = "30 kg"#

Julia Adams · Answer

undefined First, let's calculate the total amount of food consumed per week by the dogs that eat a fixed amount of food:

2 dogs eat 2 kg per week: 2 * 2 = 4 kg/week
2 dogs eat 1 kg per week: 2 * 1 = 2 kg/week

Now, let's calculate how much food the fifth dog eats per week:
1 kg every three weeks means $ \frac{1}{3} $ kg per week.

Now, we add up the weekly food consumption for all the dogs:
Total weekly consumption = 4 kg/week + 2 kg/week + $ \frac{1}{3} $ kg/week

To find the total consumption over 9 weeks, we multiply the weekly consumption by 9:
Total consumption over 9 weeks = (4 + 2 + $ \frac{1}{3} $) kg/week * 9 weeks.

Now, calculate the total consumption.

Total consumption over 9 weeks = (6.33) kg/week * 9 weeks
Total consumption over 9 weeks = 57 kg.

So, the dogs will have eaten altogether 57 kg of food in 9 weeks.