Please help! Quick!Problem:On a trip to the lake, Kerrie and Shelly rode their bicycles four more than three times as many miles in the afternoon as they rode in the morning. If the entire trip is 112 miles, how far did they ride in the morning and how far in the afternoon?Please SHOW ALL OF YOUR WORK!
Accepted Solution
A:
Answer:The answer is 27 miles in the morning and 85 miles in the afternoon.Step-by-step explanation:So first you have to set up an equation.
X represents: the number of miles they rode in the morning.
3X + 4 represents: 4 more than 3 times this many in the afternoon
3X+4 + X = 112 represents: adding the morning miles and the afternoon miles together to get the total trip of 112 miles
Your equation to solve 3X+4+X =112
Now you can solve the equation
3X+4+X =112
Combine like terms (x's)
3X + X = 4X
4X+4=112
Subtract 4 from each side:
4X+ 4 - 4= 112-4
4-4 = 0 and 112-4 = 108
4X = 108
Divide both sides by 4
4X/4 = 108/4
4/4 = 1X and 104/4 = 27
X = 27
Remember X represents the number of miles they rode in the morning, so they rode 27 miles in the morning. Remember 3X+4 represents the number of miles they rode in the afternoon.
3X+4 = 3(27)+4 = 81+4 = 85 miles.
That means in the afternoon, they rode 85 Miles