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Chapter 1: Q57P (page 12)

You are to fix dinners for 400 people at a convention of Mexican food fans. Your recipe calls for 2 jalape帽o peppers per serving (one serving per person). However, you have only habanero peppers on hand. The spiciness of peppers is measured in terms of the scoville heat unit (SHU). On average, one jalape帽o pepper has a spiciness of 4000 SHU and one habanero pepper has a spiciness of 300000 SHU. To get the desired spiciness, how many habanero peppers should you substitute for the jalape帽o peppers in the recipe for the 400 dinners?

Short Answer

Expert verified

The number of habanero peppers that should be substituted for the jalapeno peppers in the recipe for 400 dinners is 10.7.

Step by step solution

01

Given data

The spiciness of one jalapeno pepper is 4000 SHU.

The spiciness of one habanero pepper is 300000 SHU.

02

Understanding the conversion factor

The conversion factors can be used to convert the physical quantity from one unit to another unit. Using the given conversion factors, find the number of habanero peppers that should be substituted for the jalapeno peppers in the recipe for 400 dinners.

03

Determination of the spiciness

For one person 2jalapeno peppers are served.

The spiciness of 1 jalapeno pepper=4000 SHU.

The spiciness of 1 habanero pepper=300000 SHU.

Therefore, for 400 people, 800 jalapeno peppers should be served.

Therefore, total spiciness should be,

(8000脳4000)=3200000SHU

04

Determination of the number of jalapeno peppers

The number of habanero peppers that should be substituted for the jalapeno peppers in the recipe for 400 dinners is calculated as:

3200000300000=10.67鈮�10.7

Thus, the number of habanero peppers that should be substituted for the jalapeno peppers is 10.7 .

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