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Mary gave one third of her money to Nazeem and one fifth of her money to Elwethu Elwethu received R28 less than Nazeem. How much money did Mary have originally?​

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Answer: Mary had R70

Explanation:

To find out how much money Mary originally had, we can use a step-by-step approach:

Step 1: Let's assume Mary originally had X amount of money.

Step 2: Mary gave one-third of her money to Nazeem, which means she kept two-thirds (2/3) of her money.

Step 3: Mary also gave one-fifth of her money to Elwethu, which means she kept four-fifths (4/5) of the money she had after giving some to Nazeem.

Step 4: We know that Elwethu received R28 less than Nazeem. This means that the difference between the amounts Nazeem and Elwethu received is R28.

Step 5: Let's set up an equation based on the information we have:

(2/3) * X - (4/5) * (1/3) * X = R28

Step 6: Simplify the equation:

(2/3) * X - (4/15) * X = R28

Step 7: Find the common denominator for the fractions:

(10/15) * X - (4/15) * X = R28

Step 8: Combine like terms:

(6/15) * X = R28

Step 9: Simplify further:

(2/5) * X = R28

Step 10: Divide both sides of the equation by (2/5) to solve for X:

X = R28 / (2/5)

Step 11: Calculate X:

X = R28 * (5/2)

Step 12: Simplify the expression:

X = R70

Therefore, Mary originally had R70

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