michelle has some stamps. Her sister has half as many stamps as does. They have 1080 stamps in all. Home many stamps does Michelle have
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To solve this problem, we need to set up an equation. Let's assume that Michelle has x stamps.
Her sister has half as many stamps as Michelle, so her sister has x/2 stamps.
The total number of stamps they have together is the sum of their individual stamps, which is x + x/2.
According to the problem, the total number of stamps they have together is 1080 stamps. So we can write the equation as:
x + x/2 = 1080
To solve this equation, we can first combine the x terms on the left-hand side:
2x/2 + x/2 = 1080
Now we have a common denominator, so we can combine the fractions:
(2x + x)/2 = 1080
Next, we can simplify the left-hand side:
3x/2 = 1080
To isolate x, we can multiply both sides of the equation by the reciprocal of 3/2, which is 2/3:
(2/3)(3x/2) = (2/3)(1080)
This simplifies to:
x = 720
Therefore, Michelle has 720 stamps.
s + 2s = 1080
3s = 1080
s = 360
The sister has 360 stamps.