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Answer :

Answer:

Part A: [tex]0.75 \times 8 + 1 \times x = 21[/tex]

Part B : x = 15

Part C: Megan purchased 15 books.  

Step-by-step explanation:

Megan earns a rebate each month on completing surveys and books.

She earns $0.75 for each survey she completes and $1 for each book. Now, last month Megan completed 8 surveys and earned $21.

Part A: If Megan purchased x number of books last month, then the equation that will determine the number of books she purchased, is

[tex]0.75 \times 8 + 1 \times x = 21[/tex] .......... (1) (Answer)

Part B: Now, solving equation (1) we get,

6 + x = 21 {Since, 0.75 × 8 = 6}

⇒ 6 + x - 6 = 21 - 6 {Subtracting 6 from each side} {Subtraction property}

⇒ x = 15 (Answer)

Part C: Megan purchased last month 15 books. (Answer)

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