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VLD [36.1K]
2 years ago
10

A recipe for cookies calls for 23 of a cup of sugar per batch. Elena used cups of sugar to make multiple batches of cookies. How

many batches did she make?
Mathematics
1 answer:
Oxana [17]2 years ago
6 0

Answer:

8

Step-by-step explanation:

Answer: 8 batches

Step-by-step explanation:

To get the number of batches she made, we can just use proportion to solve it. But first, we need to convert 5 1/3 to improper fraction

5 1/3 = 16/3

Then we can now use the proportion to solve

2/3 cups = 1 batch

16/3 cups = x (note:5 1/3=16/3)

cross multiply

2/3 × x = 16 /3

2x/ 3 = 16/3

we need to make x the subject of the formula, to do that we will multiply each side of the equation by 3/2

2/3 × 3/2 x = 16/3 × 3/2

6x /6 = 48 / 6

x = 8

Therefore she made 8 batches of cookies.

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3 years ago
A box has twice as many grapes as a basket. Once 2kg of grapes were added to the basket, it contained 0.5 kg more than the box.
pav-90 [236]

By solving a system of equations, we will see that now there are 3.5kg of grapes on the basket.

<h3>How many kilograms of grapes are in the basket now?</h3>

Let's define the variables:

  • x = kg of grapes on the box originally.
  • y = kg of grapes on the basket originally.

We know that:

x = 2y

When we add 2kg to the basket, it has 0.5k more than the box, then:

y + 2 = x + 0.5

Then we have a system of equations:

x = 2y

y + 2 = x + 0.5

We want to solve this for y, then we can replace the first equation into the second one:

y + 2 = (x = 2y) + 0.5

y + 2 = 2y + 0.5

2 - 0.5 = 2y - y

1.5 = y

This means that, originally, there are 1.5 kg of grapes on the basket. And then we added 2kg, so now there are:

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If you want to learn more about systems of equations:

brainly.com/question/13729904

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