The chickens on a farm eat 3 times as much grain as the turkeys do per week. The chickens and turkeys eat a total of 52 pounds of grain every week. How much grain do the chickens and turkeys each eat every week?

Any help would be appreciated, thank you in advance!

Let t = the amount the turkeys eat.

t + 3t = 52

4t = 52

t = 13 pounds

so easy with a bit of algebra, but algebra in grade 4 ?

so....

suppose we put the grain in 4 buckets
(if we give 3 buckets to the chickens and 1 bucket to the turkeys, we do what it says)

then wouldn't each bucket contain 13 pounds ?
(52รท4=13)

so the chickens get 3x13 or 39 pounds
the turkeys get 13 pounds

To solve this problem, we can set up equations based on the information given. Let's represent the amount of grain the turkeys eat in a week with the variable "x".

According to the problem, the chickens eat 3 times as much grain as the turkeys. So, the amount of grain the chickens eat per week can be represented as 3x.

The problem also states that the total amount of grain eaten by both chickens and turkeys is 52 pounds. Therefore, we can set up the equation:

x + 3x = 52

By combining like terms, we get:

4x = 52

To solve for x, we divide both sides of the equation by 4:

4x/4 = 52/4

x = 13

So, the turkeys eat 13 pounds of grain per week.

To find out how much grain the chickens eat, we can substitute the value of x into the equation:

3x = 3(13) = 39

Therefore, the chickens eat 39 pounds of grain per week.

In conclusion, the turkeys eat 13 pounds of grain per week, and the chickens eat 39 pounds of grain per week.