Question

In a flower bouquet, 13/30 of the flowers were roses, 2/5 of the flowers were orchids and the remaining were gladioli. If the number of gladioli were 7, how many flowers were there in the bouquet.

If you can please give a proper step by step explanation.

Answer 1

fraction of roses=13/30

fraction of orchids=2/5

fraction of gladioli=1-13/30-2/5

=(30-13-12)/30

=1/6

no. of total flowers=x

no. of gladioli=(1/6)*x

no. of gladioli=7

Therefore we get the equation:

$\frac{x}{6} = 7$

=>

$x = 7 \times 6 = 42$

Therefore there are 42 flowers in the bouquet.