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adoni [48]
2 years ago
12

A box had twice as many grapes as a basket. Once 2 kg of grapes were added to the basket, it contained 0.5 kg more than the box.

How many kilograms of grapes are in the basket now? (it's not 3kg or 1.5kg)
Mathematics
1 answer:
guapka [62]2 years ago
4 0

Answer:

3.5kg

Step-by-step explanation:

Let original weight  of grapes in box be X and weight of grapes in basket be Y.

From the first sentence
X = 2Y  (weight in box = 2 times weight in basket)   --- (1)

If you add 2kg of grapes to basket, the weight of grapes in basket = Y + 2

From the second statement

Y + 2 = X + 0.5

Subtracting Y from the LHS gives 2 = X - Y + 0.5

Subtracting 0.5 from both sides gives 2-0.5 = X - Y or X - Y = 1.5  --- (2)

Substituting for X from the first equation in (2) we get
2Y - Y = 1.5 or Y = 1.5kg

But this is the original weight of the grapes in the basket. Since we have added 2 kg of grapes to the original weight, we get the weight of grapes in basket now as 1.5 + 2.0 = 3.5kg

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Talja [164]

Hey!

Let's walk through this together.

Possible Answers: {5, 7, 9, 11, 13}

Let's start with 5.

5-4<8

1<8

So, 5 is CORRECT.

Next, 7.

7-4<8

3<8

So, 7 is CORRECT.

Next, 9.

9-4<8

5<8

So, 9 is CORRECT.

Next, 11.

11-4<8

7<8

So, 11 is CORRECT.

Last, 13.

13-4<8

11<8

So, 13 is INCORRECT.

Your answers are: {5,7,9,11}

So D.

Hope this helps!

<h2><em>~~~PicklePoppers~~~</em></h2>
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