Question 1202595: Sophia prepares a fruit bowl where the weights of strawberries, grapes, and blackberries are in a ratio of 7:6:2, respectively. If these are the only pieces of fruit in the bowl, and the fruit weighs five pounds total, how many pounds of strawberries are used in the bowl?
Found 4 solutions by math_tutor2020, MathTherapy, ikleyn, josgarithmetic:
Answer by math_tutor2020(3817)   (Show Source):
You can put this solution on YOUR website!
x = some positive real number
x > 0
The ratio 7:6:2 scales up to 7x:6x:2x
7x = weight of strawberries
6x = weight of grapes
2x = weight of blackberries
Their sum is 5 pounds total
7x+6x+2x = 5
15x = 5
x = 5/15
x = 1/3
Therefore,
7x = 7*(1/3) = 7/3 = 2 & 1/3
6x = 6*(1/3) = 2
2x = 2*(1/3) = 2/3
Answer: 2 & 1/3 pounds of strawberries.
Equivalent to 7/3 pounds or roughly 2.333 pounds.
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website!
Sophia prepares a fruit bowl where the weights of strawberries, grapes, and blackberries are in a ratio of 7:6:2, respectively. If these are the only pieces of fruit in the bowl, and the fruit weighs five pounds total, how many pounds of strawberries are used in the bowl?
Thanks, @IKLEYN. I calculated blackberries i/o strawberries
Fraction of weight of total fruit, made up of strawberries: 
Answer by ikleyn(52781)  (Show Source):
Answer by josgarithmetic(39617) (Show Source):
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