How many…
There are two sizes of chocolate candy packages; small and large.
How many chocolate candies come in a small package and how many come in a large package when…
…
… you combine 1 small and 1 large package the total is 15 and when you combine 3 small packages and 4 large packages the total is 54?
…
… you combine 3 small and 4 large packages the total is 47 and when you combine 3 small packages and 1 large package the total is 23?
…
… you combine 5 small and 2 large packages the total is 61 and when you combine 2 small packages and 2 large packages the total is 40.
Prompt #1:
A shot put was thrown and landed at a distance of 84 feet; a new record!Â
The officials can measure the throw using green measuring sticks that are 8 feet long or blue measuring sticks that are 12 feet long.Â
What are all of the possible ways that the officials could use these measuring sticks to confirm the length of the throw?
Prompt #2:
Another shot put was thrown and landed at a distance of 80 feet. While the officials will be measuring using 8 foot green measuring sticks and 12 foot blue measuring sticks, they only have access to 5 green measuring sticks.
How many of each measuring stick must they use to measure the 80 foot shot put throw exactly?
Consolidation Prompt:
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