Solve. 4.75t + 5 = 13.5t + 12 The solution is t = .
1 answer:
You might be interested in
Answer:
Bike alone = 39
Step-by-step explanation:
Given that:
Total number = n(T) = 100
Jog= n(J)
Bike = n(B)
Bike and jog = n(BnJ) = 21
Number who jog = 46
Jog alone = 46 - 21 = 25
Neither jog nor bike = 15
Let bike alone = x
Hence,
Jog alone + bike alone + jog and bike + none of the two = 100
25 + x + 21 + 15 = 100
x = 39
We have to set up 2 different equations if we are to solve for 2 unknowns. The first equation is x = y + 4. One number (x) is (=) 4 more than another (y + 4). Since we have determined that x is larger (cuz it's 4 more than y), when we set up their difference, we are going to subtract y from x cuz x is bigger. The second equation then is 
. In our first equation we said that x = y + 4, so let's sub that value in for x in the second equation: 
. Expand that binomial to get 
. Of course the y squared terms cancel each other out leaving us with 8y + 16 = 64. Solving for y we get that y = 6. Subbing 6 in for y in our first equation, x = 6 + 4 tells us that x = 10. Yay!