document.write( "Question 1167981: A cup of coffee contains 20 more milligrams of caffeine than a cup of tea. A cup of coffee also contains 85 more milligrams of caffeine than the average cola drink. If one cup of tea and four cola drinks contain the same amount of caffeine as one cup of coffee, how many milligrams of caffeine are there in one cup of coffee? \n" ); document.write( "
Algebra.Com's Answer #792658 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A cup of coffee contains 20 more milligrams of caffeine than a cup of tea. A cup of coffee also contains 85 more milligrams of caffeine than the average cola drink. If one cup of tea and four cola drinks contain the same amount of caffeine as one cup of coffee, how many milligrams of caffeine are there in one cup of coffee? \n" ); document.write( ": \n" ); document.write( "let c = amt of caffeine in a cup of coffee \n" ); document.write( "let t = amt in tea \n" ); document.write( "let a = amt in cola \n" ); document.write( "write an equation for each statement \n" ); document.write( "\"A cup of coffee contains 20 more milligrams of caffeine than a cup of tea.\" \n" ); document.write( "c = t + 20 \n" ); document.write( "\"A cup of coffee also contains 85 more milligrams of caffeine than the average cola drink.\" \n" ); document.write( "c = a + 85 \n" ); document.write( " \"If one cup of tea and four cola drinks contain the same amount of caffeine as one cup of coffee, how many milligrams of caffeine are there in one cup of coffee?\" \n" ); document.write( "c = t + 4a \n" ); document.write( "replace c with t+20 from the 1st statement \n" ); document.write( "t + 20 = t + 4a \n" ); document.write( "subtract t from both sides \n" ); document.write( "20 = 4a \n" ); document.write( "a = 20/4 \n" ); document.write( "a = 5 mg in a cola \n" ); document.write( "In the 2nd equation replace a with 5 \n" ); document.write( "c = 5 + 85 \n" ); document.write( "c = 90 mg of caffeine in a cup of coffee \n" ); document.write( " |