Question

A parking meter in downtown Seattle takes dollar coins and quarters only. When the machine was last emptied, there were 250 coins in it, with a total value of $137.50. Which of the following systems of equations gives the number of quarters, q, and the number of dollar coins, d ? A. d + q = 250 and 100d + 25q = 137.50 B. d + q = 250 and 0.1d + 0.25q = 137.50 C. d + q = 250 and d + 0.25q = 137.50 D. d + q = 137.50 and d + 0.25q = 250 E. d + q = 137.50 and 100d + 25q = 250 Question 2 of 3 For two consecutive integers, the result of adding double the smaller integer and triple the larger integer is 153. What are the two integers? F. 29, 30 G. 30, 31 H. 49, 50 J. 50, 51 K. 76, 77 Question 3 of 3 In a certain triangle, the longest side is twice as long as the shortest side, and the shortest side is 4 inches shorter than the middle side. If the perimeter of the triangle is 52 inches, how long is the longest side? A. 10 inches B. 12 inches C. 16 inches D. 20 inches E. 24 inc

Answer 1

The 1st question might be C. But not 100% sure.

Answer 2

(1)

C

d + q = 250 ( total number of coins ) and

d + 0.25q = 137.50 ( total value of coins )

(2)

G

consecutive integers have a difference of 1 between them

let the integers be n and n + 1 then

2n + 3(n + 1) = 153 (distribute and simplify )

2n + 3n + 3 = 153

5n + 3 = 153 ( subtract 3 from both sides )

5n = 150 ( divide both sides by 5 )

n = 30 and n + 1 = 31

the 2 consecutive integers are 30 and 31

(3)

E

let x be the shortest side then longest side = 2x and middle side = x + 4

2x + x + 4 + x = 52

4x + 4 = 52 ( subtract 4 from both sides )

4x = 48 ( divide both sides by 4 )

x = 12

the longest side = 2x = 2 × 12 = 24