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The flower peddler has red flowers with five petals each and white flowers with eight petals each. he has a total of 10 flowers with a total of 62 petals. how many red flowers are there and how many white flowers

User Jdotjdot
by
8.2k points

1 Answer

2 votes

Answer:

6 red and 4 white flowers

Explanation:

Let's use a system of equations to solve this problem. Let

R represent the number of red flowers and

W represent the number of white flowers.

We are given two pieces of information:

The total number of flowers is 10:

+

=

10

R+W=10.

The total number of petals is 62:

5

+

8

=

62

5R+8W=62.

Now, we can solve this system of equations. Let's first solve equation (1) for

R:

=

10

R=10−W.

Now, substitute this expression for

R into equation (2):

5

(

10

)

+

8

=

62

5(10−W)+8W=62.

Now, distribute the 5 on the left side:

50

5

+

8

=

62

50−5W+8W=62.

Combine like terms:

50

+

3

=

62

50+3W=62.

Subtract 50 from both sides:

3

=

12

3W=12.

Now, divide by 3:

=

12

3

=

4

W=

3

12

=4.

So, there are 4 white flowers. Now, use this value to find the number of red flowers using equation (1):

=

10

=

10

4

=

6

R=10−W=10−4=6.

There are 6 red flowers.

So, there are 6 red flowers and 4 white flowers in total.

User Anders Kaseorg
by
8.6k points
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