Math Problem Statement

Kelly has some oranges, apples, and pears in the ratio of 16:15:12. Saiful concluded that Kelly has 43 fruit altogether. Do you agree with Saiful's conclusion? If you disagree, how would you correct him?

Solution

The problem states that Kelly has oranges, apples, and pears in the ratio of 16:15:12. Saiful concluded that Kelly has 43 fruits altogether.

Let's break this down:

  1. The ratio 16:15:12 implies that the total number of parts is: 16+15+12=4316 + 15 + 12 = 43 However, this number (43) represents the parts in the ratio, not the actual number of fruits. To find the actual number of fruits, we need to know how many times this ratio is being multiplied (the scaling factor or multiplier). Saiful seems to have mistakenly concluded that the sum of the parts (43) is the total number of fruits.

  2. Since no multiplier is given, we can't determine the total number of fruits. Therefore, Saiful's conclusion is incorrect.

To correct him, we would explain that 43 represents the total of the ratio parts, not the actual number of fruits, and the total number of fruits can only be determined if we know the multiplier.

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Math Problem Analysis

Mathematical Concepts

Ratios
Multipliers

Formulas

Sum of ratio parts = a + b + c
Total quantity = multiplier * sum of ratio parts

Theorems

Ratio theorem

Suitable Grade Level

Grades 6-8