Question #1
For a 170lb person, calculate the quanities of each of the following that must be ingested to provide the LD50 for caffine given if caffine is equal to 192 LD50(mg/kg).
1)Cups of coffee if one cup is 12 fluid ounces and there is 100mg of caffine per 6 fl oz of dripped brewed coffee.
2)Cans of cola if one can contains 50mg of caffine
3) Tablets of No-Doz if one tablet contains 100mg of caffine
Question #2
In Mexico, avocados are 46 pesos per kilogram. What is the cost in cents of an avocado that weighs 0.45lb if the exchange rate is 11 pesos to the dollar? Express the answer in two significant figures.
*Answer needs to be in cents.
For 1-1.
step 1.Convert 170 lb to kg = ?? kg.
step 2. 192 mg/kg x ?? kg = mg caffeine for the 170# person to reach the LD50.
step 3. Convert mg caffeine to cups coffee knowing that 1 cup coffee contains 200 mg caffeine.
2-3 are done the same way with only step 3 being different.
Check my thinking.
Problem 2.
This is just a problem in conversions.
step 1. convert 0.45 lb to ?? kg.
step 2. convert ??kg to pesos at 46 pesos/kg = yy pesos
step 3. now convert yy pesos to cents knowing that 11 pesos = 100 cents
Check my thinking. Check my numbers. Post your work if you get stuck.
Question #1
To calculate the quantities of each item needed to provide the LD50 for caffeine, we'll need to follow these steps:
1) Calculate the weight of caffeine needed for LD50:
- LD50 (mg/kg) = 192 mg/kg
- Body weight of the person = 170 lb
- Convert body weight to kg: 170 lb * 0.4536 kg/lb = 77.11 kg
- Calculate caffeine needed: 192 mg/kg * 77.11 kg = 14,802.72 mg
2) Calculate the quantities for each item:
a) Cups of coffee:
- One cup of coffee = 12 fl oz
- Caffeine in 6 fl oz of coffee = 100 mg
- Determine the number of cups required: 14,802.72 mg / (100 mg/6 fl oz) = 888.16 cups (rounded up to 889 cups)
b) Cans of cola:
- One can of cola = 50 mg of caffeine
- Determine the number of cans required: 14,802.72 mg / 50 mg = 296.05 cans (rounded up to 297 cans)
c) Tablets of No-Doz:
- One tablet of No-Doz = 100 mg of caffeine
- Determine the number of tablets required: 14,802.72 mg / 100 mg = 148.03 tablets (rounded up to 149 tablets)
Therefore, for a 170 lb person to reach the LD50 for caffeine, they would need approximately:
1) 889 cups of coffee
2) 297 cans of cola
3) 149 tablets of No-Doz
Question #2
To calculate the cost of an avocado in cents, we'll follow these steps:
1) Convert the weight of the avocado from pounds to kilograms:
- Given weight of avocado = 0.45 lb
- Convert pounds to kilograms: 0.45 lb * 0.4536 kg/lb = 0.20412 kg
2) Calculate the cost in pesos:
- Price of avocados per kilogram in Mexico = 46 pesos/kg
- Calculate cost of avocado: 0.20412 kg * 46 pesos/kg = 9.39232 pesos
3) Convert the cost from pesos to cents using the exchange rate:
- Exchange rate: 11 pesos/dollar
- Calculate cost in cents: 9.39232 pesos * 100 cents/peso = 939.232 cents
Rounding to two significant figures, the cost of an avocado that weighs 0.45 lb would be approximately 940 cents.