Pencils come in packages of 10 Erasers come in packages of 1

Pencils come in packages of 10. Erasers come in packages of 12. Phillip wants to purchase the smallest number of pencils and erasers so that he will have exactly 1 eraser per pencil. How many packages of pencils and erasers should Phillip buy? 4 packages of pencils and 3 packages of erasers 5 packages of pencils and 4 packages of erasers 6 packages of pencils and 5 packages of erasers 12 packages of pencils and 10 packages of erasers Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for her friends at school. She wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie. If she wants each container to have the greatest number of cookies possible, how many plastic containers does she need? Boxes that are 12 inches tall are being stacked next to boxes that are 18 inches tall. What is the shortest height at which the two stacks will be the same height? Beginning at 8:30 a.m., tours of the National Capitol and the White House begin

Solution

Dear Student

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In order for container to have maximum number of cookies of each type uniformly divided across containers we first need to calculate the total minimum number of cookies whcih shall be there in each container.

Total Number of Oatmeal cookies = 30

Total Number of Chocochip Cookies = 48

GCF (30,48) = 6

Therefore there shall be 6 number of containers in totality containing 30/6 = 5 Oatmeal cookies each and 48/8 = 8 Chocochip Cookies each.

Hence solved