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Answer :
Answer:
Step-by-step explanation:
Let R and G stand for the prices of rose bushes and geraniums, respectively.
We are told that:
Abhasra: 30R + 11G = $219
Lisa: 6R + 44G = $420
Two equations and two unknowns. Eliminate one of the variables by substitution:
Let's start with
6R + 44G = $420
and try to eliminate the G. We note that the first equation, 30R + 11G = $219, can be multiplied by 4 to bring the geraniums up to the same as in the second equation:
6R + 44G = $420
4*(30R + 11G = $219) = 120R + 44G = 876
Now subtract this equation from the first:
6R + 44G = $420
-120R - 44G = -$876
-114R = -456
R = 4: Rose bushes are $4 each.
Now use R= $4 in either equation to find G:
6R + 44G = $420
6($4) + 44G = $420
$24 + 44G = $420
44G = $396
G = : Geraniums are $9.00 each.
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