The total cost of a tie and a pair of of pants was$87.76. If the price of the tie was $5.64 less than the pair of pants, what was the price of the tie? Express your answer as a simplified fraction or a decimal rounded to two places.
let t = the cost of the tie and p = the cost of the pants t + p = 87.76 We know the cost of the tie (t) is equal to 5.64 less than the pants then we can write: t = p-5.64 Substitute back into the original equation (p-5.64)+p=87.76 2p= 93.4 p=46.7 Substitute p back into the original equation t+46.7= 87.76 t=41.06 We can verify this is true by adding them back together to get 87.76.
