The florist charges $31.75 for eight roses and five carnations. For one rose and three carnations, it cost $5.75. What is the co

Question

krok68 [10]

2 years ago

14

The florist charges $31.75 for eight roses and five carnations. For one rose and three carnations, it cost $5.75. What is the co

st for a carnation?

Mathematics

1 answer:

Sedbober [7] · Answer 1 · 2022-06-21T04:24:41+03:00

Cost for a carnation is $0.75

Step-by-step explanation:

Let,

Rose = x

Carnation = y

According to given statement;

8x+5y=31.75 Eqn 1

x+3y=5.75 Eqn 2

$Multiplying\ Eqn\ 2\ by\ 8\\8(x+3y=5.75)\\8x+24y=46 \ \ \ Eqn\ 3\\Subtracting\ Eqn\ 1\ from\ Eqn\ 3\\(8x+24y)-(8x+5y)=46-31.75\\8x+24y-8x-5y=14.25\\19y=14.25\\Dividing\ both\ sides\ by\ 19\\\frac{19y}{19}=\frac{14.25}{19}\\y=0.75$

Cost for a carnation is $0.75

Keywords: Linear equations, Addition

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