sat suite question viewer

Algebra / Linear equations in two variables Difficulty: Easy

In $2010$ $2010$ , a swim club had a total of $35$ $35$ swimmers, each classified as either advanced or intermediate. From $2010$ $2010$ to $2020$ $2020$ , the number of advanced swimmers in the club increased by approximately $53 %$ $53 percent sign$ , and the number of intermediate swimmers in the club increased by approximately $44 %$ $44 percent sign$ . The total number of swimmers in the club increased by approximately $49 %$ $49 percent sign$ . Which equation best represents this situation, where $a$ $a$ represents the number of advanced swimmers in the club in $2010$ $2010$ and $b$ $b$ represents the number of intermediate swimmers in the club in $2010$ $2010$ ?

$1.53 a + 1.49 b = 35 (1.44)$

$1.49 a + 0.53 b = 35 (1.44)$

$1.53 a + 1.44 b = 35 (1.49)$

$1.44 a + 1.53 b = 35 (1.49)$

Back question 125 of 126 Next

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126

Explanation

Choice C is correct. It’s given that in $2010$ $2010$ , a swim club had a total of $35$ $35$ swimmers, each classified as either advanced or intermediate, and that $a$ $a$ represents the number of advanced swimmers in $2010$ $2010$ and $b$ $b$ represents the number of intermediate swimmers in $2010$ $2010$ . It's also given that from $2010$ $2010$ to $2020$ $2020$ , the number of advanced swimmers in the club increased by approximately $53 %$ $53 percent sign$ and the number of intermediate swimmers in the club increased by approximately $44 %$ $44 percent sign$ . Thus, in $2020$ $2020$ , the approximate number of advanced swimmers in the club can be represented as $1.53 a$ $1.53 a$ and the approximate number of intermediate swimmers in the club can be represented as $1.44 b$ $1.44 b$ . It's given that the total number of swimmers in the club increased by approximately $49 %$ $49 percent sign$ from $2010$ $2010$ to $2020$ $2020$ . Since the club had $35$ $35$ swimmers in $2010$ $2010$ , it follows that the total number of swimmers in $2020$ $2020$ can be represented as $35 (1.49)$ $35 left parenthesis 1.49 right parenthesis$ . Since the sum of the number of advanced swimmers in $2020$ $2020$ and the number of intermediate swimmers in $2020$ $2020$ equals the total number of swimmers in $2020$ $2020$ , the equation $1.53 a + 1.44 b = 35 (1.49)$ $1.53 a + 1.44 b = 35 (1.49)$ best represents this situation.

Choice A is incorrect. This equation represents a situation where the number of intermediate swimmers in the club in $2020$ $2020$ increased by approximately $49 %$ $49 percent sign$ , not $44 %$ $44 percent sign$ , and the total number of swimmers in the club in $2020$ $2020$ increased by approximately $44 %$ $44 percent sign$ , not $49 %$ $49 percent sign$ .

Choice B is incorrect and may result from conceptual errors.

Choice D is incorrect. This equation represents a situation where the number of advanced swimmers in the club in $2020$ $2020$ increased by approximately $44 %$ $44 percent sign$ , not $53 %$ $53 percent sign$ , and the number of intermediate swimmers in the club in $2020$ $2020$ increased by approximately $53 %$ $53 percent sign$ , not $44 %$ $44 percent sign$ .