Math Problem Statement

Kate and Isaac share 495 sweets. Kate gets 20% more sweets than Isaac. How many sweets does Isaac get?

Solution

To solve the problem where Kate and Isaac share 495 sweets, with Kate getting 20% more sweets than Isaac, and finding out how many sweets Isaac gets, follow these steps:

Let Isaac's share be xx.

Kate gets 20% more than Isaac, so she gets x+0.2x=1.2xx + 0.2x = 1.2x.

The total number of sweets is x+1.2x=2.2x=495x + 1.2x = 2.2x = 495.

To find xx, solve:

2.2x=4952.2x = 495

x=4952.2x = \frac{495}{2.2}

x=225x = 225

So, Isaac gets 225 sweets. The correct answer is option D.

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Math Problem Analysis

Mathematical Concepts

Percentages
Proportional Distribution
Algebra

Formulas

x + 1.2x = 495
x = Total / Combined Ratio

Theorems

Proportional Reasoning

Suitable Grade Level

Grades 6-8