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Zorluk: KolayRatios, Rates, and Proportions

A technician at a chemistry lab prepares a solution by mixing 33 milliliters of acid with every 77 milliliters of distilled water. If the technician uses 3535 milliliters of distilled water to prepare the solution, how many milliliters of acid are needed?

Cevap: 15 milliliters

Cevap

The correct answer is 15.
To maintain the ratio of 33 milliliters of acid for every 77 milliliters of distilled water, the proportion acidwater=37=x35\frac{\text{acid}}{\text{water}} = \frac{3}{7} = \frac{x}{35} is established. Multiplying both sides by 3535 gives x=35×37=15x = 35 \times \frac{3}{7} = 15 milliliters of acid.

Adım Adım Çözüm

1
Set up the proportion relating acid to distilled water.
37=x35\frac{3}{7} = \frac{x}{35}, where xx is the required amount of acid in milliliters.
The ratio of acid to distilled water must remain constant.
2
Solve the proportion for xx.
x=15x = 15
Multiply both sides of the equation by 35 to isolate xx.

Anahtar Kavram

Solving proportions to find an unknown quantity when the ratio is constant.

Alternatif Yöntem

Find the scale factor: 3535 divided by 77 is 55. Multiply the acid amount (33) by this scale factor of 55 to get 1515.
Tahmini Süre:45s
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Ratios, Rates, and Proportions

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