Page 9 - Demo

Example 4: Lucas needs at least 48 mini building bricks. He has four bags of bricks that each have an equal number of bricks but needs to share 12 bricks with his sister. How many bricks must be in each bag so that Lucas has enough bricks for his project? Write and solve an inequality that represents the situation.Because Lucas needs at least 48 bricks, the expression that represents the number of bricks he has should be greater than or equal to 48. 4b %u2013 12 %u2265 484b %u2013 12 + 12 %u2265 48 + 12 4b %u2265 60 4 04 4b %u2265 6 b %u2265 15 There needs to be at least 15 bricks in each bag.Another way to write the inequality for Example 4 is to start with the desired number of bricks. 48 %u2264 4b %u2013 12 A %u2264 sign is used here because 48 is still the smallest number of bricks Lucas can have. The expression that represents the number of bricks he has, 4b %u2013 12, is still greater than or equal to 48. Consider what each piece of the inequality represents and compare it with the written description to be sure the inequality and description match each other.Example 5: Olivia attends a craft show that charges a $4 admission fee. Knitted hats are being sold for $5.75 each. If Olivia can spend up to $50 at the craft show and only buys hats for her friends and family, how many hats can she purchase?Because Olivia can spend up to $50, the expression that represents the amount of money she spends must be less than or equal to 50. 4 + 5.75h %u2264 50 4 + 5.75h %u2013 4 %u2264 50 %u2013 4 5.75h %u2264 46 5.75 5.755.75 46 h %u2264 h %u2264 8 Olivia can purchase at most 8 hats.%u00a9 GOOD AND BEAUTIFUL 5 LESSON 91