Ajar contains 5-gram bolts and 10-gram bolts. the contents of the jar weigh 3.8 kg. if there are 460 bolts, how many 10-gram bolts are there in the jar? (convert kg to grams.)

The number of 10 gram bolts in the jar is 300.

Explanation

Lets assume, the number of 5 gram bolts is and the number of 10 gram bolts is

Total weight of all bolts = 3.8 kg = (3.8 × 1000) grams = 3800 grams

So, the first equation will be:  

Now the total number of bolts is given as 460. So, the second equation will  be :  

Solving equation (2) for y itself, we will get....

Now, substituting this into equation (1) in place of .....

Plugging this into the equation , we will get...

So, the number of 10 gram bolts in the jar is 300.

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