Worded math problem

Question

Suppose there are two countries of equal size, Northland and Southland, that each consumes one ton of two goods, Food and Clothes. It takes Northland 10 days to produce one ton of food and 5 days to produce one ton of clothes. It takes Southland 8 days to produce one ton of food and 2 days to produce one ton of clothes. How many days could two countries save in total if they trade instead of producing separately?

Answer 1

2 tons of food and 2 tons of clothes are consumed daily between both countries

 

                 Food         CLothes

Day #1       -2                   -2

Day #2      -4                    -3 <--- 1 ton of clothes are produced by Southland

Day #3      -6                    -5

Day #4      -8                    -7

Day #5      -10                  -8 <--- 1 ton of clothes are produced by Northland

Day #6     -12                   -10

Day #7     -14                   -12

Day #8     -15                    -14  <----- Southland produces 1 ton of food

Day #9    -16                     -16

Day #10   -17                    -18  <---- Northland produces 1 ton of food

 

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