sat suite question viewer

Algebra / Linear equations in two variables Difficulty: Easy

A store sells two different-sized containers of a certain Greek yogurt. The store’s sales of this Greek yogurt totaled $1,277.94$ dollars last month. The equation $5.48 x + 7.30 y = 1,277.94$ represents this situation, where $x$ is the number of smaller containers sold and $y$ is the number of larger containers sold. According to the equation, which of the following represents the price, in dollars, of each smaller container?

Back question 6 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. It's given that the store's sales of a certain Greek yogurt totaled $1,277.94$ dollars last month. It's also given that the equation $5.48 x + 7.30 y = 1,277.94$ represents this situation, where $x$ is the number of smaller containers sold and $y$ is the number of larger containers sold. Since $x$ represents the number of smaller containers of yogurt sold, the expression $5.48 x$ represents the total sales, in dollars, from smaller containers of yogurt. This means that $x$ smaller containers of yogurt were sold at a price of $5.48$ dollars each. Therefore, according to the equation, $5.48$ represents the price, in dollars, of each smaller container.

Choice B is incorrect. This expression represents the total sales, in dollars, from selling $y$ larger containers of yogurt.

Choice C is incorrect. This value represents the price, in dollars, of each larger container of yogurt.

Choice D is incorrect. This expression represents the total sales, in dollars, from selling $x$ smaller containers of yogurt.