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Answer:
Number of marbles with Williams at the starting = 192
Step-by-step explanation:
Let total number of marbles with Williams = m
He lost marbles = 25% of the total number
=
=
Remaining marbles with Williams = m -
=
He gave marbles to his brother = th of the remaining marbles
=
=
Remaining marbles after giving marbles to his brother = 120
Therefore,
m =
m = 192
Number of marbles with Williams at the starting = 192
Let's call L the width of the rectangle and W its width. The area of the rectangle is the product between the length and the width, and we are also told that the area is 300 square meters, so we can write
Moreover, we know that the length is 5 meters longer than the width:
We have a system of 2 equations in 2 unknown variables, L and W. If we substitute the second equation into the first one, we get
which has two solutions: W=-20 and W=15. We can discard the negative solution since it does not have physical meaning, and now we can substitute the value of W into the second equation to find L:
<span>Therefore, the rectangle has width 15 meters and length 20 meters.</span>
Moreover, we know that the length is 5 meters longer than the width:
We have a system of 2 equations in 2 unknown variables, L and W. If we substitute the second equation into the first one, we get
which has two solutions: W=-20 and W=15. We can discard the negative solution since it does not have physical meaning, and now we can substitute the value of W into the second equation to find L:
<span>Therefore, the rectangle has width 15 meters and length 20 meters.</span>