The cafeteria sells each apple at one price and each banana at another price. For 5 apples and 3 bananas Dan pays $5.70. For 3 apples and 5 bananas Chris pays $4.70. The price of one apple is how much more then the price of one banana, in cents?

50

Step-by-step explanation:

a = # of apples

b = # of bananas

5a + 3b = 570

3a + 5b = 470

Solve with substitution or elimination.  To solve by elimination, multiply the first equation by 5 and the second equation by 3.

25a + 15b = 2850

9a + 15b = 1410

Subtract:

16a = 1440

a = 90

Plug into either equation to find b.

5(90) + 3b = 570

450 + 3b = 570

3b = 120

b = 40

So apples are 90 cents, and bananas are 40 cents.  Therefore, apples are 50 cents more than bananas.

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

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4

step-by-step explanation: