A shipment of tv sets, some weighing 30kg each and the others weighing 50kg each, has a total weight of 880kg. If there are 20 tv sets all together how many weigh 50 kg?
Let L= large, S=small
S+L=20
30S+50L=880kg
does that help?
yes! Thanks
To determine the number of TV sets that weigh 50 kg, we can start by setting up equations based on the given information.
Let's say "x" represents the number of TV sets that weigh 30 kg and "y" represents the number of TV sets that weigh 50 kg.
From the problem, we know:
1. The total number of TV sets is 20: x + y = 20
2. The total weight of the shipment is 880 kg: 30x + 50y = 880
To solve these equations, we can use a method called substitution. Let's solve the first equation for "x" in terms of "y":
x = 20 - y
We can substitute this value for "x" in the second equation:
30(20 - y) + 50y = 880
Now, we can simplify and solve for "y":
600 - 30y + 50y = 880
20y = 280
y = 14
So, there are 14 TV sets that weigh 50 kg.