A person loses 2.70 lb in two weeks. How many grams did they lose?

Ask by Cummings Christensen. in the United States

Mar 23,2025

Question

A person loses 2.70 lb in two weeks. How many grams did they lose? $$ (1 \mathrm{~kg}= $$ $$ 2.205 \mathrm{lb}) $$

UpStudy AI · Accepted Answer

To find out how many grams the person lost, we need to convert the weight loss from pounds to grams.

Given:
- Weight loss in pounds = 2.70 lb
- Conversion factor: 1 kg = 2.205 lb

First, we need to convert the weight loss from pounds to kilograms:
$$ \text{Weight loss in kg} = \frac{2.70 \text{ lb}}{2.205 \text{ lb/kg}} $$

Next, we will convert the weight loss from kilograms to grams:
$$ \text{Weight loss in grams} = \text{Weight loss in kg} \times 1000 \text{ g/kg} $$

Let's calculate the weight loss in grams.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{2.7}{2.205}$$
- step1: Convert the expressions:
  $$\frac{\frac{27}{10}}{\frac{441}{200}}$$
- step2: Multiply by the reciprocal:
  $$\frac{27}{10}\times \frac{200}{441}$$
- step3: Reduce the numbers:
  $$3\times \frac{20}{49}$$
- step4: Multiply:
  $$\frac{3\times 20}{49}$$
- step5: Multiply:
  $$\frac{60}{49}$$
The weight loss in kilograms is approximately 1.22449 kg.

Now, we can convert the weight loss from kilograms to grams:
$$ \text{Weight loss in grams} = 1.22449 \text{ kg} \times 1000 \text{ g/kg} $$

Let's calculate the weight loss in grams.
Calculate the value by following steps:
- step0: Calculate:
  $$1.22449\times 1000$$
- step1: Multiply the numbers:
  $$1224.49$$
The person lost approximately 1224.49 grams.
The person lost approximately 1224 grams.

A person loses 2.70 lb in two weeks. How many grams did they lose?

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