Nova, Luna, and Emek prepared a supply capsule for launch. The empty capsule had a mass of 180 kilograms. After 6 identical supply containers were loaded, the control screen showed a total mass of 450 kilograms. To find the mass of each container, they let x represent the unknown mass and wrote 180 + 6x = 450. They subtracted 180 to get 6x = 270, then found x = 45 kilograms. Emek checked that 180 + 6(45) = 450. Since the total matched the screen and stayed below the 500-kilogram launch limit, the capsule was ready to launch.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Start with the empty capsule mass and add the mass of 6 identical containers.
The empty capsule has a mass of 180 kilograms, and 6 identical containers bring the total mass to 450 kilograms. Which equation represents this situation if x is the mass of one container?
180x + 6 = 450180 + 6x = 4506 + x = 450 - 180180 + x = 450Correct! The total mass is 180 plus 6 times the mass of one container.
Try again. The capsule weighs 180 kilograms, and there are 6 containers that each weigh x kilograms.
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Hint
Subtract the empty capsule mass from 500, then divide the remaining mass equally among 8 containers.
For another launch, the same 180-kilogram capsule is loaded with 8 identical containers and has a total mass of 500 kilograms. How many kilograms does each container weigh?
Correct! Each container weighs 40 kilograms.
Try again. First find the mass of all 8 containers together, then divide by 8.
Next🎉 Congrats! You got this question!
Hint
Find the mass of 5 containers, then add the 180-kilogram mass of the empty capsule.
In the story, each container weighs 45 kilograms. If Nova loads only 5 of these containers into the 180-kilogram capsule, what will the total mass be?
225 kilograms360 kilograms405 kilograms450 kilogramsCorrect! Five containers plus the empty capsule have a total mass of 405 kilograms.
Try again. Calculate 5 times 45, then add 180.
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🎉 Congrats! You finished this challenge set!
