# Question

Hi,
Need help to solve the following Math questions. Many thanks in advance.

1. The ratio of the number of stalks of carnation to the number of stalks of roses in a floral shop was 5:2. Each stalk of carnation costs \$4, while each stalk of rose costs \$6. The florist would be able to collect \$4800 from the sale pf all his roses and carnations.
(a)How many stalks of roses were there?
(b)After selling some roses, the ratio of carnations to roses became 10:1. How many stalk of roses were sold?

2. The table below shows the pricing of 3 types of tickets.
Ferry-\$30 Train-\$20 Bus-\$10

The ratio of the number of ferry tickets sold to the number of train tickets sold was 5:6. The ratio of the number of train tickets sold to the number of bus tickets sold was 4:11. The amount of money collected from the sale of bus tickets was \$270 more than the amount of money collected from the sale of ferry tickets. How much more money was collected from the sale of ferry tickets than the train tickets?

Hi

Q1.
carnation : roses (qty) = 5:2
carnation : roses (value) = 5×4: 2×6 = 20: 12 = 5u : 3u
Total 8u = \$4800, 1u = \$600

Number of carnation stalks = 5 x 600/4 = 750
Number of roses stalks = 3 x 600/6 = 300

After selling some roses,
carnation : roses (qty) = 10 : 1 = 750 : 75
Roses sold = 300 – 75 = 225 stalks.

Q2. use the same approach .. find the ratio for quantity, and then ratio for value…
Ferry tickets : Train tickets = 5 : 6
Train tickets : Bus tickets = 4 : 11
Ferry Tickets : Train Tickets : Bus Tickets = 10 : 12 : 33

Ferry Tickets : Train Tickets : Bus Tickets, in value
= 10×3 : 12×2 : 33×1
= 30 : 24 : 33
= 10u : 8u : 11u … should be able to complete the solution from here

cheers.