Daniel and his children went into a grocery store and he bought $10.15 worth of apples and bananas. Each apple costs $1.75 and each banana costs $0.70. He bought a total of 10 apples and bananas altogether. Determine the number of apples and the number of bananas that Daniel bought.

Daniel bought 3 apples and 7 bananas.

Step-by-step explanation:

Let x represent the number of apples that Daniel bought.

Let y represent the number of bananas that Daniel bought.

He bought a total of 10 apples and bananas altogether. This means that

x + y = 10

Daniel and his children went into a grocery store and he bought $10.15 worth of apples and bananas. Each apple costs $1.75 and each banana costs $0.70. This means that

1.75x + 0.7y = 10.15 - - - - - - - - - - - 1

Substituting x = 10 - y into equation 1, it becomes

1.75(10 - y) + 0.7y = 10.15

17.5 - 1.75y + 0.7y = 10.15

- 1.75y + 0.7y = 10.15 - 17.5

- 1.05y = - 7.35

y = - 7.35/- 1.05

y = 7

x = 10 - y = 10 - 7

x = 3

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0

the answer is 40.

proof: