# A recent survey of tourists to Hawaii indicated that the average tourist spends 25% of their vacation budget on food and lodging, 10% on souvenirs and 65% on entertainment. If over the course of...

A recent survey of tourists to Hawaii indicated that the average tourist spends 25% of their vacation budget on food and lodging, 10% on souvenirs and 65% on entertainment. If over the course of the year the price of food and lodging dropped 17%, the price of souvenirs dropped 8% and the price of entertainment rose 15%, what was the average price increase experienced by the tourists?

Round your final answer properly to two decimal places, if applicable.

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Let's imagine that we have an average tourist who spends $100 on his trip.

This means $65 for entertainment, $25 for food, and $10 for souvenirs.

We can find out prices for the next year by multiplying by the percentages.

Entertainment will go **up** by `65*0.15=9.75`

Food will go **down** by `25*0.17=4.25`

Loding will go **down** by `10*0.08=0.8`

The net change is `9.75-4.25-.8 = 4.7`

To find the percent change, divide change by original amount and multiply by one hundred:

`4.7/100 *100 = 4.7%`

` `

Let total expence be x .

food and lodge = .25x

souvenirs =.1x

entertainment=.65x

After dropped / increase price

food and lodge=.25x- (.17)(.25)x=.2075x

souvenirs= .1x - (.08)(.1x)=.092x

entertainment =.65x+(.15)(.65x)=.7475x

now total expence=1.047x

Thus

increased price = 1.047x-x=.047x

So percetage increase in price=`(.047x xx 100)/x`

`=4.7`

**The average price increase experienced by the tourists is 4.7%**