sat suite question viewer

Algebra / Linear equations in two variables Difficulty: Medium

$2.5 b + 5 r = 80$

The given equation describes the relationship between the number of birds, $b$ , and the number of reptiles, $r$ , that can be cared for at a pet care business on a given day. If the business cares for $16$ reptiles on a given day, how many birds can it care for on this day?

Back question 61 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 A is correct. The number of birds can be found by calculating the value of $b$ when $r equals 16$ in the given equation. Substituting $16$ for $r$ in the given equation yields $2.5 b + 5 (16) = 80$ , or $2.5 b + 80 = 80$ . Subtracting $80$ from both sides of this equation yields $2.5 b equals 0$ . Dividing both sides of this equation by $2.5$ yields $b equals 0$ . Therefore, if the business cares for $16$ reptiles on a given day, it can care for $0$ birds on this day.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.