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13 Mar 2021, 22:38
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Que: Mandy sold 720 apples in 15 days. If the number of apples she sold increased by 5 each day, how many apples did she sell on the 8th day?
A. 8
B. 51
C. 43
D. 35
E. 53
A. 8
B. 51
C. 43
D. 35
E. 53
13 Mar 2021, 22:40
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Que: John purchased 3,000 bolts for $30 each. He sold 1,800 bolts for $20 each in the first week and sold the rest for $40 each in the second week. What was his total profit from sales?
A. $6,000
B. $18,000
C. $25,000
D. $28,000
E. $30,000
A. $6,000
B. $18,000
C. $25,000
D. $28,000
E. $30,000
15 Mar 2021, 21:54
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MathRevolution
Solution: We have to find the number of apples did Mandy sell on \(8^{th}\) day.
Given: Mandy sold 720 apples in 15 days and the number of apples she sold increased by 5 each day
1st day: x
2nd day: x + 5
3rd day: x + 5 + 5 = x + 2*5 .
.
.
15th day: x + 14*5
=> x + (x + 5) + (x + 2*5) + ….+(x + 14*5) = 720
=> 15x + 5 + 2*5 + …..+ 14*5 = 720
=> 15x + 5( 1 + 2 + …. + 15) = 720
=> 1 + 2 + 3 + 4 +…..+ n = \(\frac{n(n+1) }{2}\)
=> 15x + 5 * \(\frac{(15 * 16)}{2}\) = 720
=> 15x + 600 = 720
=> 15x = 120
=> x = 8
=> ∴ \(8^{th}\) day = x + 7*5 = 8 + 35 = 43
Therefore, C is the correct answer.
Answer C
