Question naomi-

1.2 Linear Equations in One Variable - Word problems → single variable
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Naomi bought both rabbit snails and nerite snails for a total of $52. Each rabbit snail costs $8 and each nerite snail costs $6. If Naomi bought 2 nerite snails, how many rabbit snails did she buy?

A.

5

B.

12

C.

14

D.

50

Naomi bought both rabbit snails and nerite snails for a total of $ 52 . Each

Medium-difficulty · SAT Math · Linear Equations in One Variable — Word problems → single variable. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice A is correct. Let x represent the number of rabbit snails that Naomi bought. It’s given that each rabbit snail costs $8. Therefore, the total cost, in dollars, of the rabbit snails that Naomi bought can be represented by the expression 8 x . It’s also given that each nerite snail costs $6, and that Naomi bought 2 nerite snails. Therefore, the total cost, in dollars, of the nerite snails that Naomi bought is 62, or 12 . Since Naomi bought both the rabbit snails and the nerite snails for a total of $52, the equation 8 x + 12 = 52 can be used to represent the situation. Subtracting 12 from both sides of this equation yields 8 x = 40 . Dividing both sides of this equation by 8 yields x = 5 . Therefore, Naomi bought 5 rabbit snails.

Choice B is incorrect. This is the total cost, in dollars, of the nerite snails that Naomi bought, not the number of rabbit snails.

Choice C is incorrect. This is the cost, in dollars, of one rabbit snail and one nerite snail, not the number of rabbit snails that Naomi bought.

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