Respuesta :
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,
[tex]\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}}[/tex]
[tex]\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}}[/tex]
[tex]\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}}[/tex]
[tex]\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}}[/tex]
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