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Roger gets $40\$40 per day as wages and $4.50\$4.50 as commission for every pair of shoes he sells in a day. His daily earnings goal is $112\$112. How many pairs of shoes does Roger need to sell in a day to meet his earnings goal?

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Q. Roger gets $40\$40 per day as wages and $4.50\$4.50 as commission for every pair of shoes he sells in a day. His daily earnings goal is $112\$112. How many pairs of shoes does Roger need to sell in a day to meet his earnings goal?
  1. Identify variables and goal: Identify the variables and the goal.\newlineRoger's daily wage: $40\$40\newlineCommission per pair of shoes sold: $4.50\$4.50\newlineDaily earnings goal: $112\$112\newlineWe need to find the number of pairs of shoes Roger needs to sell to meet his earnings goal.
  2. Calculate earnings needed: Calculate the amount Roger needs to earn from selling shoes to meet his goal.\newlineSubtract Roger's daily wage from his daily earnings goal to find out how much more he needs to earn from commissions.\newline$112\$112 (goal) - $40\$40 (wage) = $72\$72 (amount needed from commissions)
  3. Calculate pairs of shoes needed: Calculate the number of pairs of shoes Roger needs to sell to earn $72\$72 in commission.\newlineDivide the amount needed from commissions by the commission per pair of shoes.\newline$72÷$4.50=16\$72 \div \$4.50 = 16 pairs of shoes

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