SOLUTION: 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 gladiola flowers were 7, how many flowers wer

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: 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 gladiola flowers were 7, how many flowers wer      Log On


   

Question 467513: 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 gladiola flowers were 7, how many flowers were there in the bouquet?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I will say for now that total number of flowers = 1
(1) +13%2F30+%2B+2%2F5+%2B+g+=+1+
+13%2F30+%2B+12%2F30+%2B+g+=+30%2F30+
+g+=+30%2F30+-+25%2F30+
+g+=+5%2F30+
+g+=+1%2F6+
This is the fraction of the total
that are gladioli
----------------
Multiply both sides of (1) by t,
the actual total number of flowers
+t+
(1) +%2813%2F30%29%2At+%2B+%282%2F5%29%2At+%2B+g%2At+=+t+
(1) +%2813%2F30%29%2At+%2B+%282%2F5%29%2At+%2B+7+=+t+
(1) +t+-+%2813%2F30%29%2At+-+%2812%2F30%29%2At+=+7+
(1) +t%2A%28+1+-+25%2F30%29+=+7+
(1) +t%2A%285%2F30%29+=+7+
(1) +t+=+%2830%2F5%29%2A7+
(1) +t+=+42+
There are 42 total flowers