Question

Monica had some money. She gave half to her brother and spent half of what she had left. Then she lost 25 cents and only had 50 cents left. How much money did she have at first?

Answer 1

Monica originally had $1.50

Data;

• Let x represent the initial amount she had

Word Problem

To solve this, we have to write the word problem in an equation which we can solve.

Assuming she had x amount of money and she gave half to her brother, we can write an equation for that

$x - \frac{x}{2} = x- 0.5x$

But she also lost 25 cents and she have 50 cents left, let's put this in an equation.

$x-0.5x-0.25 = 0.50$

let's collect like terms and solve for x

$x-0.5x-0.25=0.50\\0.5x=0.5+0.25\\0.5x= 0.75\\\frac{0.5x}{0.5} =\frac{0.75}{0.5}\\ x = 1.5$

From the calculations above, Monica originally had $1.50

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