Melanie mixes water with plant fertilizer in a proportional relationship that can be represented by the equation w = 3p, where w is the number of quarts of water and p is the number of tablespoons of plant fertilizer. To keep this suggested ratio, should Melanie mix 1 quart of water for every 3 tablespoons of fertilizer or 3 quarts of water for every 1 tablespoon of fertilizer? Explain.

Question
Ratios, rates, proportions
asked 2020-11-01
Melanie mixes water with plant fertilizer in a proportional relationship that can be represented by the equation w = 3p, where w is the number of quarts of water and p is the number of tablespoons of plant fertilizer. To keep this suggested ratio, should Melanie mix 1 quart of water for every 3 tablespoons of fertilizer or 3 quarts of water for every 1 tablespoon of fertilizer? Explain.

Answers (1)

2020-11-02
If we divide both sides of the equation by p, we would obtain: \(\displaystyle\frac{{w}}{{p}}={3}\)
which gives the ratio of the number of quarts of water to the number of tablespoons of plant fertilizer. This means that Melanie should mix 3 quarts of water for every 1 tablespoon of fertilizer.
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