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25 votes
A florist sells a bouquet of roses

for $16 each and a bouquet of carnations
for $10 each. The shop sells 28 bouquets
today and makes $400. How many bouquets of
roses did the shop sell today and how many
bouquets of carnations were sold today?

1 Answer

5 votes

Answer:

Bouquets of roses = 20

Bouquets of carnations = 08

Explanation:

Let,

x be the bouquets of roses sold

y be the bouquets of carnations sold

According to given statement;

x + y = 28 Eqn 1

16x + 10y = 400 Eqn 2

Multiplying Eqn 1 by 16

16(x+y=28)

16x + 16y = 448 Eqn 3

Subtracting Eqn 2 from Eqn 3

(16x+16y)-(16x+10y) = 448 - 400

16x + 16y - 16x - 10y = 48

6y = 48

Dividing both sides by 6


(6y)/(6)=(48)/(6)\\y=8

Putting y=8 in Eqn 1

x + 8 = 28

x = 28 - 8

x= 20

Hence,

Bouquets of roses = 20

Bouquets of carnations = 08

User Ameena
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