Hey <vivilau1112>,

I suppose the <answerkey> of $177 got you stumped.

So if we put 177 back into the question, we have ...

177 - 25 = 152

After Daisy spent $25, D : V is 3 : 4.

152 ÷ 3 = 50 2/3

This ends up with $50 and fraction of a dollar that does not give you the proper cents without rounding off.

Hence, I have every reason to believe that the answerkey provided could be incorrect.

I worked out the answer to be **$217** that is based on my worked solution as follows:

After Daisy (D) spent $25 on a bag,

<Before>

D : V

3 : 4

<Process>

D: +220

V: -50

<After>

D : V

2 : 1

Applying <Cross-Multiply> method, we have ...

(3u + 220) / 2 = (4u - 50) / 1

3u + 220 = 2 × (4u - 50)

3u + 220 = 8u - 100

8u - 3u = 220 + 100

5u --> 320

1u --> 64

D (at first, after buying bag) = 3u --> 3 × 64 = $192

D (before buying bag) = 192 + 25 = **$217**

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Trust this helps clarify.

Do let me know again if there's further clarification.

Cheers,

Edward