On Rhonda's family farm, the workers picked 5/12 of the strawberries in the first week. These strawberries were put in 10 crates, and 20kg were left over. The crates were sent off to the supermarket and the other 20kg were sold at the family fruit stand. During the second week the crew picked the remaining strawberries and placed them in 15 crates. How many kilograms of strawberries did the family crew pick during these two weeks. Show all your work
(5/12) s = 10 c + 20
(7/12) s = 15 c
well we have two linear equations with two unknowns. We can do it.
7 s = 180 c
so c = (7/180) s
(5/12) s = (7/18)s + 20
(5/4) s = (7/6) s + 60
(15/12)s = (14/12) s + 60
s/12 = 60
s = 720 kg
On Rhonda's family farm, the workers picked 5/12 of the strawberries in the first week. These strawberries were put in 10 crates, and 20kg were left over. The crates were sent off to the supermarket and the other 20kg were sold at the family fruit stand. During the second week the crew picked the remaining strawberries and placed them in 15 crates. How many kilograms of strawberries did the family crew pick during these two weeks. Show all your work . is there an easier way to explain
Not that I know of.
To find the total number of kilograms of strawberries picked by the family crew during these two weeks, we need to calculate the amount picked in the first week and the amount picked in the second week separately, and then add them together.
First, we need to determine the amount picked and put into crates in the first week. Given that the workers picked 5/12 of the total strawberries, let's assign a variable to represent the total amount of strawberries.
Let T represent the total amount of strawberries on Rhonda's family farm.
In the first week, the workers picked 5/12 of T, which can be expressed as (5/12)T. These strawberries were placed in 10 crates, with 20kg left over. So we can create the following equation:
(5/12)T = 10 crates + 20kg
Next, let's solve this equation to find the value of T, the total amount of strawberries.
To get rid of the fraction, we can multiply both sides of the equation by 12:
12 * (5/12)T = 12 * (10 crates + 20kg)
This simplifies to:
5T = 120 crates + 240kg
Now, let's solve for T by dividing both sides of the equation by 5:
(5T)/5 = (120 crates + 240kg)/5
This simplifies to:
T = 24 crates + 48kg
Therefore, the total amount of strawberries on Rhonda's family farm is T = 24 crates + 48kg.
Now that we know the total amount of strawberries, let's calculate the amount picked in the second week. The remaining strawberries were picked and placed in 15 crates.
So, the strawberries picked in the second week can be represented as 15 crates.
To find the total number of kilograms of strawberries picked during these two weeks, we need to add the amount picked in the first and second week:
Total = Amount picked in the first week + Amount picked in the second week
Total = 24 crates + 48kg + 15 crates
Since we are looking for the total number of kilograms, we need to convert the crate measurements into kilograms. Let's assume that one crate contains C kilograms. So:
Total = 24C + 48kg + 15C
Therefore, the total number of kilograms of strawberries picked during these two weeks is given by the equation:
Total = 39C + 48kg
To find the exact value, we need the value of C, which represents the weight of one crate. Unfortunately, the information provided does not allow us to determine the weight of one crate. Without additional information, we cannot give an exact answer.