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Question

Difficulty: EasyRatio, Proportion, and Rate

A school kitchen uses 150150 loaves of bread to feed 300300 students. If 120120 additional students join the school, how many loaves of bread in total will be needed to feed all the students at the same consumption rate?

  1. A
    6060 loaves
  2. 210210 loavesAnswer
  3. C
    270270 loaves
  4. D
    375375 loaves

Answer

210210 loaves of bread
The rate of bread consumption is 150÷300=0.5150 \div 300 = 0.5 loaves per student. With 120120 additional students, the total number of students becomes 300+120=420300 + 120 = 420. Multiplying 420420 students by 0.50.5 loaves per student gives 210210 loaves.

Step-by-Step Solution

1
Calculate the rate of consumption per student.
Rate = 150 loaves300 students=0.5 loaves per student\frac{150\text{ loaves}}{300\text{ students}} = 0.5\text{ loaves per student}.
Determining the unit rate simplifies finding the total quantity needed for any number of students.
2
Find the total number of students.
Total students = 300+120=420 students300 + 120 = 420\text{ students}.
The question asks for the total loaves required to feed all students after the addition.
3
Calculate the total loaves needed by multiplying the total number of students by the unit rate.
Total loaves = 420×0.5=210 loaves420 \times 0.5 = 210\text{ loaves}.
Applying direct proportion yields the total amount of bread required.

Key Concept

Direct Proportion and Rate
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Topics

Ratio, Proportion, and Rate

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