Daniel and Imee shared a bag of rice in the ratio 4:5.Daniel receives 16
kg of the rice . What was the mass of the bag of rice that was shared?
My work:
4:5-16/9=1.77777777778/1.8
=1.8*9=16.2 kg
Is it correct
Anton and Maria shared 240 stamps in a ratio 4:2.How many stamps did Maria
get?
No.
Set up a ratio, cross multiply, and solve for x.
4/5 = 16/x (ratio, with "x" where the unknown is)
4x = 80 (after cross multiplying)
x = 20 (after dividing both sides by 4)
Now you try the second one.
This one is a bit different.
In the first one, the "16" was the value of one of the terms of the ratio.
In this one, the "240" is the sum of the terms of the ratio.
Let Anton's number of stamps be 4x
let Maria's number be 2x
4x + 2x = 240
x = 40
Maria has 2x or 80 stamps
I responce
Your calculation is almost correct, but there is a slight mistake in dividing 16 by 9. Let's go through the steps again to get the correct answer.
Given that the ratio of the rice shared is 4:5, and Daniel receives 16 kg of rice, we can set up a proportion to find the total mass of the rice.
Let's assume the total mass of the rice shared is x kg.
The ratio can be written as 4/5 = 16/x.
To solve for x, we can cross-multiply and get 4x = 5 * 16.
Simplifying this equation gives us 4x = 80.
Now, divide both sides of the equation by 4 to isolate x, which gives x = 80/4.
Calculating this, we find that x = 20 kg.
Therefore, the correct answer is that the total mass of the bag of rice that was shared is 20 kg.
Keep in mind that dividing 16 by 9 in your calculations seems to be incorrect. The ratio of 4:5 does not involve 9.