Answer :
x= number of roses
x+4= number of geraniums
$5x + $3(x+4)= $52
multiply 3 by parentheses
5x + 3x + 12= 52
combine like terms
8x + 12= 52
subtract 12 from both sides
8x= 40
divide both sides by 8
x= 5 roses
CHECK
$5x + $3(x+4)= $52
(5*5) + 3(5+4)= 52
25 + 3(9)= 52
25 + 27= 52
52= 52
ANSWER: She bought 5 roses.
Hope this helps! :)
x+4= number of geraniums
$5x + $3(x+4)= $52
multiply 3 by parentheses
5x + 3x + 12= 52
combine like terms
8x + 12= 52
subtract 12 from both sides
8x= 40
divide both sides by 8
x= 5 roses
CHECK
$5x + $3(x+4)= $52
(5*5) + 3(5+4)= 52
25 + 3(9)= 52
25 + 27= 52
52= 52
ANSWER: She bought 5 roses.
Hope this helps! :)
Michelle can purchased 5 roses.
The question presented involves solving a system of linear equations in order to find the number of roses Michelle purchased. To solve this problem, we first let the number of roses be represented by r and the number of geraniums be represented by g.
Since Michelle bought 4 more geraniums than roses, we can express this relationship as g = r + 4. We know that roses cost $5 each and geraniums cost $3 each, and in total, Michelle spent $52. This information leads us to create another equation: 5r + 3g = 52. Substituting the first equation into the second gives us 5r + 3(r + 4) = 52. Simplifying this equation, we get:
5r + 3r + 12 = 52,
8r + 12 = 52,
8r = 52 - 12,
8r = 40,
r = 40 / 8,
r = 5.
Therefore, Michelle purchased 5 roses.
