A truck was packed with cartons each containing packets of 500g and 250g. The total mass of the packets was 900kg. If the number of 500 packets was 1000, what was the number if 250 packets?
.5*1000 + .25x = 900
To solve this problem, we need to use the information given and set up an equation.
Let's suppose the number of 250g packets is "x".
We know that the number of 500g packets is 1000.
The mass of each 500g packet is 500g, and the mass of each 250g packet is 250g.
The total mass of the packets is given as 900kg, which is equal to 900,000g.
Now, we can set up the equation based on the given information:
(500g * 1000) + (250g * x) = 900,000g
Simplifying this equation:
500,000g + 250g * x = 900,000g
Next, we need to isolate the variable "x" by moving the constant term to the other side of the equation:
250g * x = 900,000g - 500,000g
This simplifies to:
250g * x = 400,000g
To get the value of "x", we need to cancel out the units of grams by dividing both sides of the equation by 250g:
x = (400,000g) / 250g
The grams units cancel out, leaving us with:
x = 1600
Therefore, the number of 250g packets is 1600.