Jillian is selling boxes of cookies to raise money for her basketball team. the 10 oz. box costs $3.50, while the 16 oz. box cos
2 answers:
Answer:
15
Step-by-step explanation:
If 10 oz. box costs $3.50 and a 16 oz. box costs $5.00 and she collected $97.50 we can represent an expression that relates for how many money Jillian made:
(1)
where x is the number of 10 oz. boxes and y is the number of 16 oz. boxes.
She sold 24 boxes therefore:
(2)
We can right equation in terms of y and substitute it into equation 1:
(2)
Solve for x:
Jillian sold 15 10oz. boxes
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Given:
The recurring decimal is .
To prove:
Algebraically that the recurring decimal can be written as
.
Proof:
Let,
Multiply both sides by 100.
...(i)
Multiply both sides by 10.
...(ii)
Subtract (i) from (ii).
Divide both sides by 900.
So, .
Hence proved.