Question

Mary spent 1/4 of her money on juice and 4/15 of the remaining on food .what fraction of her money did she save?

Answer 1

Answer:

Her original amount of money can be represented by the variable x

Because we are spending one-fourth of her money, and “of” translate to multiply, we can write 1/4(x), or equivalently we can say 0.25x of her money, if you prefer decimal.

When you say 1/2 of it, this refers to the original amount of money, x, unless the problem wants you to figure how much 1/2 of the remaining amount is. So if the problem is directly asking for 1/2 of it, that would’ve half of x, or 0.5x in decimal.

Remaining was 50 pence, so the original amount minus 1/4 of the amount minus 1/2 the amount equals 50 pence or .50 giving us the equation: x-0.25x-0.5x=.50

Combine like terms on the left, and we have 0.25x=0.50.

Divide by 0.25 on both sides.

We have x equals 2.

So she started with $2. To check this, we ask ourselves does having $2, and spending 1/4 of it and spending 1/2 of it, then result to 50 pence?

Yes it does, because 2–1–0.5 does in fact equal 0.50 (50pence)

Step-by-step explanation: