Question

Jack and Julio each improved their yards by planting daylilies and geraniums. They bought their supplies from the same store.

Answer 1

Cost of one daylily is $2 and cost of one geranium is $4.

Step-by-step explanation:

Let,

Cost of one daylily = x

Cost of one geranium = y

According to given statement;

x+5y=22    Eqn 1

13x+y=30    Eqn 2

From Eqn 1;

x=22 - 5y

Putting this value of x in Eqn 2;

$13(22-5y)+y=30\\286-65y+y=30\\-64y=30-286\\-64y=-256$

Dividing both sides by -64

$\frac{-64y}{-64}=\frac{-256}{-64}\\y=4$

Putting y=4 in Eqn 1

$x+5(4)=22\\x+20=22\\x=22-20\\x=2$

Cost of one daylily is $2 and cost of one geranium is $4.

Keywords: linear equation, substitution method

Learn more about substitution method at:

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