SOLUTION: A fruit shop sells apples for 5 cents each, oranges for 10 cents each and bananas for 25 cents each . if you spend exactly 55 cents at the shop, how many distinct purchases of exac
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Question 293400: A fruit shop sells apples for 5 cents each, oranges for 10 cents each and bananas for 25 cents each . if you spend exactly 55 cents at the shop, how many distinct purchases of exactly two kinds of fruit can you make ?
A 7 b 8 c 9 d 14 e 18
You can put this solution on YOUR website! 5a+10o+25b=55
2 bananas and one apple
1 banana and 3 oranges
1 banana and 6 apples
1 orange 9 apples
2 oranges 7 apples
3 oranges 5 apples
4 oranges 3 apples
5 oranges 1 apple
8 arrangements of two fruits
If you don't buy any bananas, you can buy from
1 to 5 oranges and always be able to buy apples
to finish out the 55 cents. So that's 5 ways.
If you buy 1 banana, then if you buy no apples,
you can buy 3 oranges, or if you buy no oranges
you can buy 6 apples. That's 2 more ways.
If you buy 2 bananas, then you must buy 1 apple.
That's 1 more way way.
That's 8 ways, choice b
Edwin
