Some bikes ad trikes are on a playground. There are 7 seats and 19 wheels. How many bikes? How may trikes are there? Show work.

Question

Some bikes ad trikes are on a playground. There are 7 seats and 19 wheels. How many bikes? How may trikes are there? Show work.

Answer 1

Danielle, your answer can't be right, since

4 bikes and 6 trikes would make 10 seats, not 7 as needed

Since this is labeled grade 1, we can't use algebra, so ...
let's make a chart

bike - trike - number of wheels

1 ...... 6 .......... 20
2 ...... 5 .......... 19
ahhh, got it

so 2 bikes and 5 trikes

Answer 2

Let's assume that there are "b" bikes and "t" trikes on the playground.

Each bike has 2 wheels and each trike has 3 wheels, so we can create two equations:

1. The total number of seats: b + t = 7
2. The total number of wheels: 2b + 3t = 19

To solve this system of equations, we can use the method of elimination or substitution. Let's use substitution:

From the first equation, we can express b in terms of t by subtracting t from both sides: b = 7 - t.

Now, substitute this expression for b in the second equation:

2(7 - t) + 3t = 19
14 - 2t + 3t = 19
t - 2t = 19 - 14
t = 5

Now substitute the value of t back into the first equation to solve for b:

b + 5 = 7
b = 7 - 5
b = 2

Therefore, there are 2 bikes and 5 trikes on the playground.

Answer 3

To find the number of bikes and trikes, we need to set up a system of equations based on the given information. Let's denote the number of bikes as 'b' and the number of trikes as 't'.

1) The total number of seats is 7, so we can write the equation:
b + t = 7

2) The total number of wheels is 19. Since each bike has 2 wheels and each trike has 3 wheels, we can write the equation:
2b + 3t = 19

Now, we can solve this system of equations to find the values of 'b' and 't'. There are multiple ways to solve it, but I'll use the substitution method:

Step 1: Rearrange the first equation to express 'b' in terms of 't'. (b = 7 - t)

Step 2: Substitute this expression for 'b' in the second equation:
2(7 - t) + 3t = 19

Simplifying this equation:
14 - 2t + 3t = 19
t + 14 = 19
t = 19 - 14
t = 5

Step 3: Substitute the value of 't' back into the first equation to find 'b':
b + 5 = 7
b = 7 - 5
b = 2

So, there are 2 bikes and 5 trikes on the playground.

Answer 4

1 bike = 2 wheels, one seat

so 19 /2 =9.5 =9 wheels
4 bikes
one tricycle = 3 wheels one seat
6 trikes