Answer:
Step-by-step explanation:
<u>Given</u>
- A costs 5$
- B costs $0.25
- C costs $0.05
- A + B + C = 100
- 5A + 0.25B + 0.05C = 100 ⇒ 100A + 5B + C = 2000
<u>Subtract the first equation from the second:</u>
<u>We have a restriction in numbers:</u>
<u>Since 4B can be max 400, we get 99A > 1500 and 99A < 1900 so:</u>
and
A can be 16 or 18 as it should be even number to get B the whole number.
<u>If A = 16:</u>
- 99*16 + 4B = 1900
- 4B = 1900 - 1584
- 4B = 316
- B = 316/4 = 79
<u>If A = 18:</u>
- 99*18 + 4B = 1900
- 4B = 1900 - 1782
- 4B = 118
- B = 118/4 = 29.5, discarded as decimal
<u>So we get:</u>
- A = 16, B = 79 and C = 100 - (16 + 79) = 5
<u>Let's proof the numbers:</u>
- 16*5 + 79*0.25 + 5*0.05 = 100, confirmed
16 ounces = 1 pound
1 ounce = 1/16 pound
24 ounces = 1/6 x 24 = 4 pounds
Answer: 4 pounds