You go to a convenience store to buy candy and find the owner to be odd. He allo

Question

You go to a convenience store to buy candy and find the owner to be odd. He allows you to buy pieces in multiples of 4 and to buy 4, you need $0.23. He only allows you to do this by using 3 pennies and 2 dimes. You have a bunch of pennies and dimes, and instead of counting them, you decide to weigh them. You have 636.3 grams of pennies, and each penny weighs 3.03g. Each dime weighs 2.29g. Each piece of candy weighs 10.23 g. How many pennies do you have? How many dimes do you need to buy as much candy as possible? How much should all these dimes weigh? How many pieces of candy could you buy? How much would this candy weigh? How many pieces of candy could you buy with twice as many dimes?

Explanation / Answer

given 636.3grams of pennies each pennie weighs 3.03 g

so 636.3/3.03=no of pennies =210 pennies

we need 3 pennies for each candy 210/3 =70 we can buy 70 candys using that pennies so for each candy we need 2 dimes

so maximum we need 140 dimes

weight of 140 dimes will be 320.6g

so each candy is 4 peices so we can buy 70*4=280 peices of candy we can buy

weight of each peice is 10.23 so 280 peices weigh 2864.4g

as we got 140 dimes 140*2=280 dimes when doubled each candy cost is 2.3dimes

so we can buy 121 candys from that dimes

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