Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

20. a chef at a middle eastern restaurant uses 12 pounds of ghee each d…

Question

  1. a chef at a middle eastern restaurant uses 12 pounds of ghee each day. about how many grams of ghee does the chef use each day? use the conversion factors $\frac{16 \text{ ounces}}{1 \text{ pound}}$ and $\frac{28.35 \text{ grams}}{1 \text{ ounce}}$.

Explanation:

Step1: Convert pounds to ounces

Since 1 pound = 16 ounces, for 12 pounds, the number of ounces is $12\times16$ ounces.
$12\times16 = 192$ ounces

Step2: Convert ounces to grams

Since 1 ounce = 28.35 grams, for 192 ounces, the number of grams is $192\times28.35$ grams.
$192\times28.35=192\times(28 + 0.35)=192\times28+192\times0.35=(200 - 8)\times28+(200 - 8)\times0.35=(200\times28-8\times28)+(200\times0.35 - 8\times0.35)=(5600 - 224)+(70 - 2.8)=5376+67.2 = 5443.2$ grams

Answer:

5443.2 grams