The density of the drink is 1.04 grams per cm³
<h3>How to work out the density of the drink?</h3>
Given:
density of grape juice = 1.07 grams per cm³, density of fruit syrup = 1.6 grams per cm³ and density of carbonated water = 0.99 grams per cm³
volume of grape juice = 35 cm³, volume of fruit syrup = 25 cm³ and volume of carbonated water = 310 cm³
First, find the mass of grape juice, fruit syrup and carbonated water using their volume and density:
density = mass / volume
=> mass = density × volume
mass of grape juice = 1.07 × 35 = 37.45 grams
mass of fruit syrup = 1.6 × 25 = 40 grams
mass of carbonated water = 0.99 × 310 = 306.9 grams
Total mass = 37.45 + 40 + 306.9 = 384.35 grams
Total volume = 35 + 25 + 310 = 370 cm³
density of the drink = Total mass / Total volume
density of the drink = 384.35 / 370 = 1.04 grams per cm³
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