High School

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Nicole spent $91 on 11 daylilies and 5 geraniums. Shayna spent $79 on 9 daylilies and 5 geraniums. What is the cost of one daylily and the cost of one geranium?

Answer :

Answer:

the cost of one geranmium is $5

the cost of 9 daylily is $54

Step-by-step explanation:


For this we have to make 2 equations one for each purchase made

let's identify the values ​​of each one with letters

d = daylilies

g = geranimums

11d + 5g = $91

9d + 5g = $79

we are going to clear 5g since it is in the 2 equations

5g = 91 - 11d

and now we replace in the other equation the 5g by 91 - 11d

9d + 5g = $79

9d + (91 - 11d) = $79

we cleared d

9d + (91 - 11d) = $79

9d - 11d = 79 - 91

-2d = - 12

d = -12/-2

d = 6

1 daylily costs $6

9 daylily costs $6 * 9 = $54

to know the value of g we only replace d in the initial equation

11d + 5g = $91

11(6) + 5g = 91

66 + 5g = 91

5g = 91 - 66

5g = 25

g = 25/5

g = 5

the value of g is $5

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