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System of Linear Equations

If one Bitcoin and 100,000 Dogecoin are worth $480, and two Bitcoin and 150,000 Dogecoin are worth $948, would you rather have one Bitcoin or 100,000 Dogecoin?

System of Linear Equations: Level 2 Challenges

         

A wheelbarrow holding 16 equal bricks weighs 32 kg.
When 6 bricks are removed, it weighs is 23 kg.

What is the weight of the wheelbarrow alone?

In splitting up $1000, a group of three married couples agrees upon the following plan:

The wives receive a total of $396, of which Mary gets $10 more than Diane, and Ellen gets $10 more than Mary.

Bill Brown gets twice as much as his wife, Henry Hobson gets the same as his wife, and John Jones gets 50 percent more than his wife.

What are the full names of the three wives?

Note: Assume that the wives have the same last names as their husbands.

A full bottle of green tea weighs 350 grams.
With half the tea consumed, it weighs 200 grams.

What is the weight of the empty bottle?

At 6pm, 15 boys left school, and then the remaining children could be split evenly into groups each containing 2 girls and 1 boy.

At 7pm, 45 girls left school, and then the remaining children could be split evenly into groups each containing 1 girl and 5 boys.

How many boys were there before 6pm?

Given that \(x=y=0\) is not the only solution to the following system of linear equations, determine all the possible values of \(k:\) \[\begin{align} x+2y &= kx \\ 2x+y &= ky . \end{align}\]

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