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)

Question

06-07-2022
Mathematics

Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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)

Sagot :

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.

Explain three ways a community partnership program would help students in your classroom: In your own words please

Which of the following statements best describes "clear and distinct ideas" as Descartes uses this term in the Meditations?A) Ideas are clear and distinct when

If isosceles triangle ABC has a 130° angle at vertex B, which statement must be true?A. [tex]$ m \angle A = 15^\circ $[/tex] and [tex]\( m \angle C = 35^\circ

Organic compounds that are essentially nonpolar and exhibit weak intermolecular forces have:a) high boiling pointsb) low melting pointsc) high conductivity in s

This postulate describes that putting two angles side by side with their vertices together creates a new angle whose measure equals the sum of the measures of t

Cheryl has [tex]$56 and wants to buy as many notebooks as she can to donate to her school. If each notebook costs $[/tex]1.60, which inequality shows n, the max

Q2. Write 5 rational and 2 irrational numbers between:i) -2 and 2ii) [tex]$\frac{5}{3}$[/tex] and [tex]$\frac{7}{3}$[/tex]iii) [tex]$\frac{5}{7}$[/tex] an

Apply the following transformations to the function [tex]$ f(x) = \sqrt{x-2} + 1 $[/tex]:1. Vertical compression by a factor of 32. Horizontal translation lef

A motor commutator 3 1/8 inches in diameter is turned down to remove a flat spot. If 3/64 inch is removed from the surface, find the finished diameter.

What is the exponential regression equation that fits these data?[tex]\[ \begin{array}{|c|c|} \hline x & y \\ \hline -4 & 6.01 \\ \hline -3 & 6.03 \

rvkacademic rvkacademic · Answer 1 · 2022-07-06T18:54:49-04:00

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

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)

Sagot :

Other Questions