Question

Q1 while he was standing on his head, Flip decided to count backward from 777 by eights.which of the following numbers did flip count?

A) 123 B) 125 C) 127 D) 129

Q2 The cost of 5 apples is the same as the cost of 6 pears if one apple costs 15 cents more than one pear, what is the cost of 5 apples and 6 pears

A) $3 B) $6 C)$9 D) $18

Answer 1

Answer:

• D)  129
• C)  $9

Step-by-step explanation:

Q1. Flip counts numbers that are in the sequence ...

  777 - 8n . . . . . for some positive integer n

This expression can be factored as ...

  8(97 -n) +1

which is to say that the numbers in Flip's sequence are 1 more than a multiple of 8. The number among the answer choices that matches that description is ...

  129 = 16·8 +1 . . . . . corresponding to 97-n = 16, or n = 81

Flip counted the number 129.

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Q2. Let a and p represent the costs of an apple and a pear, respectively. Then we have ...

• 5a = 6p
• a = p + 0.15

Substituting the expression for "a" in the second equation into the first equation, we get

  5(p +0.15) = 6p

  5p + 0.75 = 6p

  0.75 = p

Then 12p = 12·$0.75 = $9.00 is the cost of 6 pears and 5 apples (since 5 apples cost the same as 6 pears).

The cost of interest is $9.00.