Final answer:
To find out the number of vegetables when there are 28 pieces of fruit with a given ratio of 7 pieces of fruit to 4 vegetables, you calculate that there would be 16 vegetables at the picnic.
Step-by-step explanation:
The subject of this question is Mathematics, and it is suitable for a Middle School grade level. To determine how many vegetables there are if there are 28 pieces of fruit when the ratio of pieces of fruit to vegetables is 7 to 4, we use a proportional relationship. Since 7 fruits correspond to 4 vegetables, we need to find out how many groups of 7 fruits are in 28 fruits. By dividing 28 by 7, we get 4 groups. Therefore, if there are 4 groups of vegetables, and one group contains 4 vegetables, we simply multiply 4 (the number of groups) by 4 (the number of vegetables per group).
The calculation would be: Number of vegetable groups = Total number of fruits ÷ Number of fruits per group = 28 ÷ 7 = 4.
Then, Number of vegetables = Number of vegetable groups × Vegetables per group = 4 × 4 = 16. So, there would be 16 vegetables if there are 28 pieces of fruit at the picnic.