Question

Five Keys Charter School. Practice Packet Geometry 3 Advanced Question! Janine is planning on creating a water-based centerpiece for each of the 30 tables at her wedding reception. She has already purchased a cylindrical vase for each table. The radius of each vase is 6 cm and the height is 28 cm. She intends to fill them half way with water and then add a variety of colored marbles until the waterline is approximately three-quarters of the way up the cylinder. She can buy bags of 100 marbles in 2 different sizes, with radii of 9 mm or 12 mm. A bag of 9 mm marbles costs $3 and a bag of 12 mm marbles costs $4. 1. If Janine only bought 9 mm marbles how much would she spend on a. marbles for the whole reception? (Note: 1cm21 ml) 2. What if Janine only bought 12 mm marbles? College prep question! is eager to spend the least amount of money as possible on marbles. She can spend at most d dollars on marbles. Write a system of equalities and/or inequalities that she can use to determine how many marbles of each type she can buy. Janine is paying for the wedding on her credit card, and she b. Based on your answer to part (b), how many bags of each size marble should Janine buy if she has $180 and wants to mix in as many small marbles as possible? c. 43 courtesy of strative mthemati eicsore

Answer 1

Lookig lo fill 4 of 1h eylinders valimt,which urillhe we au 4 4 9527 Cm uning each of a volumt 4 lo9) 97a 3 Cm Fon 1 Caylimder 95a 7 Cm a 60 marbles Bor 30 dables 260x 30- 800 As each ba has 100 marblas 78 bays wel be raquied Total Cost 78x3 234 Jor 19 mnrarbles valemt 47 (1.9)-9. 304 on cylinden 110 2-3047(3 For 30 tables 110 30= 3300 bage will be rauoud SE 33 Tatal cot 33 x4 -13

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