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Visited Middle & High School Math Classes, At Child's Way Charter School. 1/16/2013 Question 6

Mrs. Suarez bought 3 pairs of jeans and 5 shirts for $441.00. If each pair of jeans cost 2/3 as much as each shirt, 

a) What was the price of each pair of jeans? 

b) What was the price of each shirt? 

Solution: Let S be the price of shirts, and J be the price of the jeans. 

You are told: 3J + 5S = $441.00

                     J = (2/3)S 

Plug in J into the first equations: 

                    3(2/3)S + 5S = $441.00

                    (3/1)(2/3)S + 5S = $441.00

                    6S + 5S = $441.00

                    11S = $441.00

                    11S/11 = $441.00 / 11

                    S = $63 

Plug in S: 3J + 5(63) = $441.00

               3J + 315 = $441.00

                     -315 = -315

                         3J = $126

                     3J/3 = $126/3 

                           J = $42

a) Price of each pair of jeans is $42.00 dollars. 

b) Price od each shirt is $63.00 dollars. 

                     

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