# math

A florist had an equal number of red and yellow tulips. She sold 624 red tulips. Then she had 4 times as many yellow tulips as red tulips. How many tulips did she start with? You must use a bar model to solve this problem.

1. 👍 0
2. 👎 0
3. 👁 115
1. n = Number of tulips

r = Number of red tulips

y = Number of yelow tulips

n = r + y

A florist had an equal number of red and yellow tulips.

r = y

n = r + y = y + y = 2 y

2 y = n Divide both sides by 2

y = n / 2

r = y

r = n / 2

After she sold 624 red tulips she had r - 624 = n / 2 - 624 red tulips

She had unchanged number of yellow tulips y = n / 2

Proportion :

y / r = 4

( n / 2 ) / r = 4

( n / 2 ) / ( n / 2 - 624 ) = 4 Multiply both sides by 2

n / ( n / 2 - 624 ) = 8 Multiply both sides by ( n / 2 - 624 )

n = 8 * ( n / 2 - 624 )

n = 8 * n / 2 - 8 * 624

n = 4 n - 4992 Subtract n to both sides

n - n = 4 n - 4992 - n

0 = 3 n - 4992 Add 4992 to both sides

0 + 4992 = 3 n - 4992 + 4992

4992 = 3 n Divide both sides by 3

4992 / 3 = 3 n / 3

1664 = n

n = 1664

Proof :

r = Number of red tulips

y = Number of yelow tulips

r = n / 2 = 1664 / 2 = 832

y = n / 2 = 1664 / 2 = 832

After she sold 624 red tulips she had 832 - 624 = 208 red tulips

and

y = n / 2 = 1664 / 2 = 832 yellow tulips

y / r = 832 / 208 = 4

1. 👍 0
2. 👎 1
posted by Bosnian

## Similar Questions

A florist had an equal number of red and yellow tulips. She sold 624 red tulips. Then she had 4 times as many yellow tulips as red tulips. How many tulips did she start with? You must use a bar model to solve this problem.

asked by Alex on June 1, 2015
2. ### math

A florist had an equal number of red and yellow tulips. She sold 624 red tulips. Then she had 4 times as many yellow tulips as red tulips. How many tulips did she have at first. 624 X 5 ----- 3120

asked by matthew on October 27, 2014
3. ### Math

Mr. lim bought an equal number of red and yellow tulips. He gave away 24 red tulips. Then tere were4 times as many yellow tulips. How mani tulips did he buy? Anna is 14 kg heavier than lily. Sharon is 8 kg lighter than Bona. If

asked by wilma on February 20, 2015
4. ### Math

Mrs. Yan buys 4 red tulips and 5 yellow tulips a : what fraction of the tulip are red? B: what fraction of the tulip are yellow

asked by Anonymous on January 11, 2016
5. ### Art

Which of the following best explains why a colorful tulip is not typically viewed as a work of art. A. Tulips cant be displayed in a gallery B. Tulips are not lasting objects C. Tulips do not have abstract patterns D. Tulips are

asked by Sydney :) on May 6, 2019
6. ### Art

which of the following best explains why a colorful tulip is not typically viewed as a work of art? A.Tulips cannot be displayed in a gallery. B. Tulips are not lasting objects. (I chose this one) C. Tulips do not have artistic

asked by Tia on April 28, 2016
7. ### STATS PROBABILITY

AFTER A TRIP TO THE MARKET, GINA PUTS TOGETHER BOUQUETS BY DRAWING AT RANDOM FROM HER PILE OF FLOWERS WHICH CONTAIN THE FOLLOWING, LAVENDER ROSES 12, RED ROSES 12, WHITE LILIES 6, YELLOW CARNATIONS 18, RED TULIPS 24 AND 12 WHITE

asked by YARY on February 24, 2016
8. ### Fractions

There are 16 tulips in the garden 1/4 of the tulips are red. How many tulips are red?

asked by Theresa on March 24, 2010
9. ### algebra

A florist plans to make 5 Identical bridesmaid bouquets for a weeding. She budgeted £ 610 and she want to 24 flowers for each bouquet. She want to use three types of flowers namely; roses, tulips and lilies . A survey of prices

asked by Emmanuel on April 7, 2018
10. ### Math

A florist has 40 tulips, 32 roses, 60 daisies, and 50 petunias. What is the ratio of petunias to tulips, in simplest form?

asked by Amy on December 2, 2014

More Similar Questions