The nut house offers a mixture of soy nuts and almonds, almonds, self for seven dollars per pound is toilets sale for $5.50 per pound. The nuthouse will make 20 pounds of mixed nuts in silver mixture for $5.95 per pound. The following equations represent the problem of keeping the cause of the mixture, consistent with the ingredients. How many pounds of signage should be used in the mixture solve for Y

1 answer

Let's assume that the weight of the soy nuts is represented by variable X.

According to the problem, the cost of soy nuts is $7 per pound.

Therefore, the cost of the soy nuts used in the mixture is 7X dollars.

Also, let's assume the weight of the almonds is represented by the variable Y.

According to the problem, the cost of almonds is $5.50 per pound.

Therefore, the cost of the almonds used in the mixture is 5.50Y dollars.

The nut house will make 20 pounds of mixed nuts, so the total weight of the mixture is 20 pounds.

According to the problem, the cost of the mixture is $5.95 per pound.

Therefore, the total cost of the mixture is 5.95 * 20 = 119 dollars.

Since the cost of the mixture consists of the costs of soy nuts and almonds, we can write the following equation:

7X + 5.50Y = 119

We need to solve this equation in order to find the value of Y.