Question

The price of a pound of peppers is 3.99dollar . What is the price of peppers in $\dfrac{\text{cents}}{\text{g}}$.

Answer 1

Hint: Here, in this problem, we have to calculate the price of peppers. Start with expressing the value of a pound of peppers in cents. One dollar is equal to a hundred cents and 1 pound is equal to 453.592 grams. The price of peppers can be written as price by weight then substituting the value and using the conversion formula, we get the required answer.

Complete step-by-step solution:
Here in this problem, the price of a pound of peppers is 3.99 dollar . We have to find the price of pounds in cents per gram. For that we need to know the conversion factor of dollars into cents as well as pounds into grams. If you observe the question, it is given that price of pepper is 3.99 dollar that means for one pound is 3.99 dollar therefore by mathematically it is given by
\[\Rightarrow \dfrac{\text{Price}}{\text{Weight}}=\dfrac{3.99\,\text{dollar}}{\text{pounds}}\]
As we know that \[1\,\text{pounds}\,=453.592\,\text{grams}\] as well as \[1\,\text{dollar}=100\,\,\text{cents}\] substitute in this above formula we get:
\[\Rightarrow \dfrac{\text{Price}}{\text{Weight}}=\dfrac{3.99\,\times 100\,\,\text{cents}}{453.592\,\text{grams}}\]
By simplifying this we get:
\[\Rightarrow \dfrac{\text{Price}}{\text{Weight}}=\dfrac{0.8796\,\text{cents}}{\,\text{grams}}\]

Therefore, the price of peppers is \[\dfrac{0.8796\,\,\text{cents}}{\text{g}}\].

Note: In this question, the use of the values in pounds in grams and dollars in cents played a crucial role in the solution. Most of the students may forget to convert then will write in pounds but one should notice which unit is asked in the question. For this particular question they asked in cents per gram hence, we need to convert the pounds in grams and also dollars in grams. Therefore, you can expect similar types of questions in your exam.