The average mass of half the number of crabs in a basket is 350g, the average mass of the remaining crabs is 300g. If the total mass iof the crabs in the basket is 13kg, how many crabs are there in the basket?
350+300=650g
13kg=13000g
13000/650
=20crabs
let number of crabs be x
mass of 1/2 the craps
= 350(x/2) =175x
mass of remaining ones = 300(x/2) = 150x
175x + 150 = 13000
325x = 13000
x = 40
there were 40 crabs
check:
half of 40 = 20
so 20(350) + 20(300) = 13000
oi's answer makes no sense and does not check out.
To solve this problem, we need to set up a system of equations using the given information.
Let's say there are x crabs in the basket. According to the problem, the average mass of half the crabs (x/2) is 350g, and the average mass of the remaining crabs is 300g.
We can use the concept of the average to represent the total mass of the crabs. The total mass of the crabs can be found by multiplying the average mass by the number of crabs. Therefore, we can write the equation as:
(x/2) * 350 + (x/2) * 300 = 13kg
Now, let's solve this equation to find the value of x, which represents the total number of crabs in the basket.
(x/2) * 350 + (x/2) * 300 = 13
Multiplying both sides of the equation by 2 to remove the fractions, we get:
350x + 300x = 26
Combining like terms, we have:
650x = 26
Dividing both sides of the equation by 650, we find:
x = 26/650
Simplifying the fraction, we get:
x ≈ 0.04
Since we are dealing with whole crabs, we need to round up to the nearest whole number. Therefore, there are approximately 1 crab in the basket.
So, the answer is that there is approximately 1 crab in the basket.