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Miyoko's goal is to earn more than 
$950 this week. She earns 
$250 for every day she works as a cryptographer, and earns 
$180 for every day she works as a geologist.
Write an inequality that represents the number of days Miyoko should work as a cryptographer 
(C) and as a geologist 
(G) to achieve her goal.

Miyoko's goal is to earn more than (950(950 this week. She earns )250)250 for every day she works as a cryptographer, and earns $180\$180 for every day she works as a geologist.\newlineWrite an inequality that represents the number of days Miyoko should work as a cryptographer CC and as a geologist GG to achieve her goal.

Full solution

Q. Miyoko's goal is to earn more than (950(950 this week. She earns )250)250 for every day she works as a cryptographer, and earns $180\$180 for every day she works as a geologist.\newlineWrite an inequality that represents the number of days Miyoko should work as a cryptographer CC and as a geologist GG to achieve her goal.
  1. Identify daily earnings: Identify the daily earnings for each job.\newlineMiyoko earns $250\$250 for every day she works as a cryptographer and $180\$180 for every day she works as a geologist.
  2. Set up inequality for total earnings: Set up the inequality to represent the total earnings from both jobs.\newlineThe total earnings from working as a cryptographer for CC days is 250C250C, and the total earnings from working as a geologist for GG days is 180G180G. Miyoko's goal is to earn more than $950\$950, so we can write the inequality as 250C + 180G > 950.
  3. Check inequality for accuracy: Check the inequality to ensure it represents the situation correctly.\newlineMiyoko wants to earn more than $950\$950, so the inequality symbol should be '>'. The coefficients 250250 and 180180 correctly represent her daily earnings for each job, and the sum of these earnings should be greater than $950\$950.

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