A merchant gets a 5% discount on each meter of fabric he buys after the first 2,000 meters and a 7% discount on every meter after the next 1,500 meters. The price, before discount, of one meter of fabric is $2, what is the total amount of money the merchant spends on 4,500 meters of fabric?
Answer(s): B
The price of the first 2,000 meters of fabric is $2 = $4,000. The price of the next 1,500 meters is 95% of $2 = $1.9 = $2,850. The price of the last 1,000 meters is 93% of $2 = $1.86 = $1,860. The total amount spent is: $4,000+$2,850+$1,860=$8,710.
On a summer camp, 25% of the campers paid $120 each, 35% paid $80 each and the rest paid $65 each. What percentage of the total amount paid came from the campers who paid $80?
Answer(s): D
Take 100 campers as an example to work with, 25 paid $120 =$3,000 total, 35 paid $80 = $2,800 total, and 40 (the rest) paid $65 = $2,600. The total amount paid is $8,400. The amount paid by the campers who paid $65 is .
A snail, climbing a 20 feet high wall, climbs up 4 feet on the first day but slides down 2 feet on the second. It climbs 4 feet on the third day and slides down again 2 feet on the fourth day. If this pattern continues, how many days will it take the snail to reach the top of the wall?
Answer(s): C
The snail climbs 2 feet every 2 days, hence, on the 16th day he is 16 feet up the wall. The snail needs only the 17th day to climb 4 feet more and reach the top of the wall.
John spent a total of $135 on baseball tickets. The price of a ticket is either $12 for the field seats or $5 for the balcony. What is the minimum amount of dollars he could have spent for the $12 tickets?
Since John spent all of the $135 on the tickets, their prices must sum up to $135. The Minimum amount spent for the $12 tickets, is the smallest amount that is divisible by 12, and still leaves an amount divisible by 5. $60 is the smallest amount both divisible by 12 and leaving $135-$60=$75, which is divisible by $5.
One of the solutions of the equation X2-X-k=5, is –3. What is the other solution of the equation?
Answer(s): A
First, plug in the solution –3 to find the value of k: (-3)2-(-3)- k-5=0,k=7. Then solve: X2 –X-7-5=0 to find the second solution: X=4.
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