Alexandra and her children went into a grocery store and she bought $7.65 worth of
apples and bananas. Each apple costs $1.75 and each banana costs $0.40. She bought
a total of 9 apples and bananas altogether. Determine the number of apples and the
number of bananas that Alexandra bought.

Alexandra bought 3 apples and 6 bananas

Number of apples = a

Number of bananas = b

From the information given, the equation to use will be:

a + b = 9 i

1.75a + 0.40b = 7.65 ii

From equation i, a = 9 - b iii

Put equation iii into ii

1.75a + 0.40b = 7.65

1.75(9 - b) + 0.4b = 7.65

15.75 - 1.75b + 0.4b = 7.65

Collect like terms

-1.75b + 0.4b = 7.65 - 15.75

-1.35b = -8.1

b = 8.1/1.35

b = 6

She bought 6 bananas

Number of apples bought = 9 - 6 = 3 apples.

Therefore, Alexandra bought 3 apples and 6 bananas

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Step-by-step explanation:

 Let a = the number of apples

And b =  the number of bananas. Then,  

Check:

OK.

answer: 21$

step-by-step explanation:

$42 / $14 = 3   (ratio 3: 1)

$7 x 3 = $21