Beth spent $53 on 3 hostas and 5 pots of ivy. Stefan spent $39 on 1 hosts and 7 pots of ivy. How much does one hosta and one pot

Question

2 years ago

15

of ivy cost

1 answer:

vichka [17] · Answer 1 · 2022-08-07T02:26:51+03:00

Cost of one hosta is $11 and one pot of ivy is $4.

Step-by-step explanation:

Let,

Cost of one hosta = x

Cost of one pot of ivy = y

According to given statement;

3x+5y=53 Eqn 1

x+7y=39 Eqn 2

Multiplying Eqn 2 by 3

$3(x+7y=39)\\3x+21y=117\ \ \ Eqn\ 3$

Subtracting Eqn 1 from Eqn 3

$(3x+21y)-(3x+5y)=117-53\\3x+21y-3x-5y=64\\16y=64$

Dividing both sides by 16

$\frac{16y}{16}=\frac{64}{16}\\y=4$

Putting y=4 in Eqn 2

$x+7(4)=39\\x+28=39\\x=39-28\\x=11$

Cost of one hosta is $11 and one pot of ivy is $4.

Keywords: linear equation, elimination method

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