Mauro has 140 ft of rope. He will cut it into two pieces so that the length of the longer piece is 3 times the length of the shorter piece. What will the length of the longer piece be?
Maggie has only dimes and quarters in her purse. She has 27 coins with a total value of $4.05 in her purse. How many dimes does Maggie have in her purse?
Question 5.5. Choose the correct answer.
Kevin wants to make a mixture that is 50% lemon juice and 50% lime juice. How much 100% lemon juice should he add to a juice that is 40% lemon juice and 60% lime juice to make 6 gal of the 50% lemon/50% lime juice mixture?
140= 3x +x 140= 4x 140/4 = 4x/4 35=x 3x= 35 * 3 3x= 105 The length is 105 ft
4. Number of dimes= d and number of quarters=q d+q= 27 10d + 25q= 405 d= 27-q 10(27 -q) +25 q= 405 270 -10q + 25q= 405 270 + 15q= 405 15q= 135 q=9 d + q= 27 d +9=27 d=18 She has 18 dimes
5. 6 gal with a 50-50 split means 3 gallons each. The 60-40 has 3 gallons of lime. If 3 gal is 60%, the volume is 5 gal. We need to add 1 gallon
