Math Problem Statement

Valerie recorded the color of each of the M&Ms in a bag. What fraction of the candy was green? What percent of the candy was green?

Solution

The bar chart provided shows the number of M&Ms in different colors. Here's the breakdown of the number of candies per color:

  • Yellow: 10
  • Orange: 7
  • Red: 4
  • Blue: 6
  • Green: 7

To answer the questions:

  1. What fraction of the candy was green? The total number of candies is the sum of all the candies: 10(yellow)+7(orange)+4(red)+6(blue)+7(green)=3410 \,(\text{yellow}) + 7 \,(\text{orange}) + 4 \,(\text{red}) + 6 \,(\text{blue}) + 7 \,(\text{green}) = 34 The fraction of green candies is: 734\frac{7}{34} Since 7 and 34 have no common factors other than 1, this is already in its simplest form.

  2. What percent of the candy was green? To calculate the percentage, use the formula: Percentage=(Number of green candiesTotal number of candies)×100=(734)×10020.59%\text{Percentage} = \left(\frac{\text{Number of green candies}}{\text{Total number of candies}}\right) \times 100 = \left(\frac{7}{34}\right) \times 100 \approx 20.59\% Rounding to the nearest whole number, the percentage of green candies is approximately 21%.

Would you like more details on any step?

Here are 5 related questions:

  1. What fraction of the candy was yellow?
  2. What percent of the candy was red?
  3. How many candies would you have if you added 5 more blue ones?
  4. If the bag had 50 candies in total, what would the fraction of green candies be?
  5. What is the ratio of yellow to red candies?

Tip: When simplifying fractions, always check for the greatest common divisor (GCD) to reduce them to their lowest terms.

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Math Problem Analysis

Mathematical Concepts

Fractions
Percentages
Data Interpretation

Formulas

Fraction formula: Number of green candies / Total number of candies
Percentage formula: (Number of green candies / Total number of candies) * 100

Theorems

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Suitable Grade Level

Grades 5-7