A jar of 264 marbles is divided equally among a group of marble-players. If 2 people join the group, each one would receive 1 marble less. How many people are there in the group today?
Answer(s): C
You can back-solve it. 264 marbles divided by 22 (answer C) is 12 marbles per person. If two people join, there will be 24 people, 264/24 is 11, which is 1 marble less.
A basket of 1430 apples is divided equally among a group of apple lovers. If 45 people join the group, each apple lover would receive 9 apples less. How many apples did each person get before 45 people joined the feast?
Try to back-solve the problem. (1430/22 = 65) people, if 45 came then there are 110 people. (1430/110 = 13) apples, which is 9 apples less per person.
A confectioner decides to sell all of his pastry due to the coming holiday. His pastry goods are equally divided among a group of 28 regular customers. If only 49 customers come to the bakery, each one will receive 6 less pastry goods. How much pastry does the confectioner needs to sell?
Answer(s): A
You can use the answers to back-solve the or you could write the equations.Take 392 pastry goods and divide them by 28 customers, each one will receive 14 products. If there were 49 customers, each one would receive (392/49 = 8), which is 6 less.
In the equation 4Y – 3kX = 18, k is a constant and Y equals 42 when X equals 12. What is the approximate value of X when Y equals 36?
Answer(s): B
First, find the constant k. Plug in the numbers for X and Y, to receive 4 x 42 – 3k x 12 = 18 k = (18 – 168)/36 = -25/6.Now, plug in the value of Y to receive: 4 x 36 – 3kX = 18 after a little math, X is equal to 10.08, therefore the approximate answer is 10.
In the equation (X + Y = k), k is a constant and X equals 13 when Y equals 23.5. What can be the value of X2 when Y2 is equal to 36?
Answer(s): E
First, find the constant k. Plug in the numbers to get k = 13 + 23.5 = 36.5. Now, Y2 = 36 Y = 6 or (-6). Plug both numbers to get X = 30.5 or X = 42.5. The best answer is E, (30.5)2 = 930.25.
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