How many bananas are needed to make the third scale balance?

Mathematics

1 answer:

frozen [14]2 years ago

8 0

The number of bananas required to make the third scale balance is 3.

<h3>What is a scale?</h3>

A scale is a tool used for weighting objects. If the objects on each side weigh the same the scale is balanced. Based on this, let's determine the possible weight of each fruit to balance the last scale.

Scale 1 (10 bananas/ 2 pineapples)

It is known 10 bananas weigh as much as 2 apples, but to solve this problem let's assume 10 bananas weigh a total of 1000 grams.

10 banans = 1000 grams = each banana weighs 100 grams
2 pineapples = 1000 grams = each pineapple weighs 500 grams

Scale 2 ( 1 pineapple / 2 bananas, 1 apple)

Using the same imaginary weights let's find the weight of the apple.

1 pineapple = 500 grams
2 bananas = 200 grams
1 apple = 300 grams (500 - 200 = 300)

Scale 3 (1 apple /x )

We know 1 apple is equal to 300 grams and 1 banana is equal to 100 grams. Based on this, the number of bananas to balance the scale is 3.

Learn more about balance in: brainly.com/question/7181548

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Follow the steps to solve for the variable in this two-step equation:

lesya692 [45]

The solution of the equation is x = 2

Step-by-step explanation:

The original equation is

$5x-10 = 0$

We solve it using the following steps:

1) We apply the addition property of equality: by adding the same factor on both sides of the equation, the equation does not change.

In this case, we add +10 on both sides, and we get:

$5x-10+10=0+10\\5x=10$

2) We apply the division property of equality: by dividing both sides of the equation by the same number (different from zero), the equation does not change.

In this case, we divide both sides of the equation by 5, and we get:

$\frac{5x}{5}=\frac{10}{5}\\x=2$