Boat Seats Ski
How do you solve these two problems in algebra word?
1. A youth group with 26 members is to go skiing. Each of the five companions he will drive a van or a sedan. The vans can seat seven people and cars can accommodate five people. How many of each type of vehicle can carry around 31 people to the area ski trip? 2. A Boat can travel 24 km in 3 hours when traveling with a chain. Even against the current, it can travel only 16 mi in 4 h. Find the current rate and the rate of boat in standing water. – I have no idea where to start!
1. Setting the two equations: 7v + 5s = 31, since 31 people have to walk 7 that the bank vans and sedans that seat 5 vs + = 5, and 5 are all vehicles will Take a second time -5, and add them: (7v + 5s) + (+-5v-5) = 31 + (-25) All this helps: 2v = 6 Then v = 3 – or 3 vans and 5 – v = 2 – or 3 vans, sedans So 21 2 10 cars will transport all the people there .. 2 I solve this with a faster method than 24 usually taught. / 3 = 8: The speed of the boat with the current 16 / 4 = 4: the speed of the boat against the current 8 + 4 = 12: total of both 2.12 = 6 ways – the boat speed, since there are two ways 8-6 = 2 – current speed, since the boat must add that the trip up, and subtract it on the trip back. Use of simultaneous equations below to solve the traditional way: 3 (b + s) = 24 4 (b – s) = 16
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