Question

Walnuts peanuts and chocolate chips are mixed in a ratio of 7:2:5. What is the weight of the mixture if 2.5lbs of chocolate chips were used fo making it

Answer 1

Answer:

7lbs

Step-by-step explanation:

7 : 2 : 5

5 / 2.5 lbs = 2

2 / 2 = 1

7 / 2 = 3.5

2.5 + 3.5 + 1 = 7 lbs

Answer 2

In plain and short, we simply will divide the whole amount of 2.5lbs by (7+2+5), and then distribute accordingly to each component,

$\bf \stackrel{walnuts}{7}~~:~~\stackrel{peanuts}{2}~~:~~\stackrel{chocolate}{5} \\\\\\ \stackrel{walnuts}{7\cdot \frac{2.5}{7+2+5}}~~:~~\stackrel{peanuts}{2\cdot \frac{2.5}{7+2+5}}~~:~~\stackrel{chocolate}{5\cdot \frac{2.5}{7+2+5}}$

$\bf \stackrel{walnuts}{7\cdot \frac{2.5}{14}}~~:~~\stackrel{peanuts}{2\cdot \frac{2.5}{14}}~~:~~\stackrel{chocolate}{5\cdot \frac{2.5}{14}} \\\\\\ \stackrel{walnuts}{\frac{2.5}{2}}~~:~~\stackrel{peanuts}{\frac{2.5}{7}}~~:~~\stackrel{chocolate}{\frac{12.5}{14}} \\\\\\ \stackrel{walnuts}{\frac{5}{4}}~~:~~\stackrel{peanuts}{\frac{5}{14}}~~:~~\stackrel{chocolate}{\frac{25}{28}}$