SOLUTION: 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, a

Algebra.Com
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): You can put this solution on YOUR website!
.

To tutor @MathTherapy:

Dear @MathTherapy, check your post attentively.


IK.


Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
How much as strawberries

strawb:grapes:blackberr, 7:6:2






RELATED QUESTIONS

You are a caterer and you need to make a 22.5 pound fruit salad. The ratio is 2 parts... (answered by stanbon,g6qwerty)
A bowl of berries contains 2 strawberries, 4 blackberries, 1 raspberry, and 3... (answered by Alan3354)
I am having trouble setting up this word problem: A fruit salad contains an equal number... (answered by jorel1380)
A box contains oranges and grapes. An equal number of oranges and grapes are rotten. 2/3... (answered by richwmiller)
Nii went into a supermarket to buy some fruit. There were three packs on special offer: (answered by mila nedic)
Oliver and Mike put apples and oranges in a bowl. the ratio of apples to oranges Oliver... (answered by josgarithmetic,math_tutor2020)
A fruit stand sells two varieties of strawberries: standard and deluxe. A box of standard (answered by Alan3354,greenestamps)
Solve the problem. A fruit salad is made up of cantaloupe, strawberries, and bananas.... (answered by josmiceli)
A fruit salad is made up of canteloupe, strawberries and banannas. If a salad weighing... (answered by ptaylor)