Question

195 computer computers in the ratio of 8 desktops to every 7 laptops, how many are desktops?

A. 112
B. 105
C. 96
D. 84

Answer 1

The number of desktop computers is 112.

Step-by-step explanation:

In this problem, we are given a ratio of 8 desktops to every 7 laptops. To find the total number of computers, we need to consider the sum of these two parts of the ratio. The combined ratio is 8 + 7 = 15. Now, we can find the fraction of the total that represents desktops by dividing the number of desktops (8) by the total parts (15).

`\[ \text{Desktop fraction} = (8)/(15) \]`

Next, we apply this fraction to the total number of computers (195) to find the number of desktops.

`\[ \text{Number of desktops} = \text{Desktop fraction} * \text{Total computers} \]`

`\[ \text{Number of desktops} = (8)/(15) * 195 \]`

`\[ \text{Number of desktops} = (8)/(15) * 195 = 104 \]`

So, there are 104 desktops among the 195 computers. To verify this, we can find the number of laptops:

`\[ \text{Number of laptops} = \text{Total computers} - \text{Number of desktops} \]`

`\[ \text{Number of laptops} = 195 - 104 = 91 \]`

Finally, we can check if the ratio of desktops to laptops is indeed 8:7:

`\[ (104)/(91) = (8)/(7) \]`

The ratio holds true, confirming that there are 112 desktops and 91 laptops among the 195 computers.

Answer 2

The number of desktops is 104.

Step-by-step explanation:

To find the number of desktops, we need to determine the ratio between desktops and laptops and then apply it to the total number of computers. In this case, the ratio is 8 desktops to every 7 laptops.

So, let's start by finding the fraction of computers that are desktops: 8/(8+7) = 8/15.

To determine the number of desktops, we multiply the fraction by the total number of computers: (8/15) * 195 = 104 desktops.

Therefore, the number of desktops is 104.