A bag of holiday M&Ms has a total of 200 red and green candies. The number of red candies is four more than three times the number of green candies. Find the number of red candies and the number of green candies in the bag.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
A bag of holiday M&Ms has a total of 200 red and green candies. The number of red candies is four more than three times the number of green candies. Find the number of red candies and the number of green candies in the bag.
![](/static/compass_v2/shared-icons/check-mark.png)
![Let x be the number of red candies and y be the number of green
candies
We have given a total of 200 red and green candies.
i.e. x+y 200 --(1)](https://content.bartleby.com/qna-images/answer/6444b098-aaca-447b-be7a-750ec4999211/1e06f3f3-c666-4b7c-bb28-b6e0447cca68/wveevzr.png)
![Also given, the number of red candies is four more than three times the
number of green candies.
i.e. in mathematical expression, x=4+3y
Rewriting the above equation, x-3y 4(2)](https://content.bartleby.com/qna-images/answer/6444b098-aaca-447b-be7a-750ec4999211/1e06f3f3-c666-4b7c-bb28-b6e0447cca68/kbjsm7m.png)
![Let us solve the two equations using substitution method
From equation (1), isolating y we have y 200-x.
Substitute y 200-x in equation (2)
x-3(200-x) 4
x-600+3x 4
4x 604
x- 151](https://content.bartleby.com/qna-images/answer/6444b098-aaca-447b-be7a-750ec4999211/1e06f3f3-c666-4b7c-bb28-b6e0447cca68/oym5ioc.png)
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