Jamal has 30 to spend at a fair. Admission costs 8, and each... | SAT Linear inequalities in one or two variables Question, Answer Explained

Question bank / Linear inequalities in one or two variables

Math · AlgebraEasy

Jamal has $\$30$ to spend at a fair. Admission costs $\$8$ , and each ride ticket costs $\$1.75$ . Which inequality represents the possible numbers of ride tickets, $t$ , that Jamal can buy along with admission?

$8 + 1.75t \le 30$

$1.75 + 8t \le 30$

$8 + 1.75t \ge 30$

$8t + 1.75t \le 30$

Show answer and explanation

Answer: A

Jamal pays $\$8$ once for admission plus $\$1.75$ for each of $t$ tickets, for a total of $8 + 1.75t$ dollars. He can spend at most $\$30$ , so $8 + 1.75t \le 30$ .

Choice C uses $\ge$ , which would mean Jamal spends at least $\$30$ , not at most $\$30$ .

Why the other choices are wrong

B. This switches the costs, charging $8 per ticket and $1.75 for admission.
C. The ≥ sign means Jamal spends at least $30. He has only $30, so his spending must be at most $30.
D. This charges the $8 admission for every ticket. Admission is paid only once.

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