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Post-UTME Mathematics 2017 Objective — Question 31

Question 31 of 50 from the Post-UTME Screening (Post-UTME) Mathematics 2017 Objective paper, with the correct answer and a full explanation.

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Antonio buys 4 notebooks for $3.50 each. The next day he returns to the store and exchanges 3 notebooks that have gone on sale for $1.75 each. Antonio uses the expression (4 x $3.50) - (3 x $1.75) to calculate the money he should receive back. Which of the following expressions could Antonio have also used?

  • A. $3.50 - $1.75
  • B. 3($3.50 - $1.75) + $3.50Correct
  • C. (4 x $3.50) - $1.75
  • D. (4 x 3) - ($3.50 x $1.75) / E. 12 - ($3.50 + $1.75)

Explanation

3($3.50-$1.75)+$3.50 = 3(1.75)+3.50 = 5.25+3.50 = 8.75, matching (4x3.50)-(3x1.75) = 14-5.25 = 8.75.

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