3. 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? 4. 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?
(Points : 1)
0.5 gal
1 gal
2 gal
2.5 gal
3. 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
