+0  
 
0
83
2
avatar

The number of roses, sunflowers and tulips a florist has are in the ratio 5:6:9

after the Florist sells 50 roses, the ratio becomes 3:4:6

Find the number of roses left after 50 of them are sold 

 Jul 18, 2021
 #1
avatar+68 
0

so we can conform the "after" ratio to fit the amount in the first ratio.

 

Since we know that T(tulips)1=T2, and S(sunflowers)1 = S2, we find that the ratio of S and T from the first ratio, determined by 9/6 and 6/4, is 1.5. We take the ratio of roses and multiply it by 1.5,and we get 4.5. therefore, 50 roses is 10% of the total. we divide 4.5 by 0.5, getting 9, and multiply that by 50.

 

9*50=450

 

the answer is 450 roses.

 Jul 18, 2021
 #2
avatar
0

R==Roses,  S==Sunflowers,  T==Tulips

 

R/S ==5/6

S/T ==6/9

3/4 =[R - 50] / S, solve for R, S, T

 

Use substitution to get:

R ==500 Roses before the sale of 50 Roses

S ==600 Sunflowers

T ==900 Tulips

 

500 Roses  -  50 Roses ==450 Roses left after the sale.

 Jul 18, 2021

19 Online Users

avatar