Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 3.9 AMC 10/12 Find the answer North Macedonia

In the first barrel there is $5$ hl and $25$ l wine. In the second barrel there is $3$ times more wine than in the first one and in the third there is $1$ hl and $75$ l less wine than in the first one. How much wine is there in each of the barrels?

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

In the first barrel there is $5$ hl $25$ l $= 525$ l of wine. So in the second barrel there is $3 \cdot 525$ l $= 1575$ l of wine and in the third $5$ hl $25$ l $- 1$ hl $75$ l $= 525$ l $- 175$ l $= 350$ l of wine. In the three barrels there is $525$ l $+ 1575$ l $+ 350$ l $= 2450$ l $= 24$ hl $50$ l of wine in total.

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