Question

A flower displays contains tulips, roses, and carnations. For every 10 tulips, there are 4 roses and 6 carnation. The display contains 100 flowers. How many of the flowers are tulips?

Answer 1

t = tulips

r = roses

c = carnations


For every 10 tulips, there are 4 roses and 6 carnation mean:

r = ( 4 / 10 ) t = 0.4 t

c = ( 6 / 10 ) t = 0.6 t


t + r + c = 100

t + 0.4 t + 0.6 t = 100

2 t = 100 Divide both sides by 2

t = 100 / 2 = 50 tulips

r = 0.4 * 50 = 20 roses

c = 0.6 * 50 = 30 carnation

Answer 2

40