Question

(75 points) ASAP Use a system of equations to solve this problem.

Answer 1

Answer:

Here x is the number of grams of the 5% tin alloy and y is the number of the 45% tin alloy,

Since, x gram and y gram is mixed to obtain 100 gram of alloy,

⇒ x + y = 100 --------(1)

Also, in the resultant alloy there is 25 % of tin,

Thus, 5% of x + 45% of y = 25% of 100

⇒ 5 x + 45 y = 2500

⇒ x + 9 y = 500  ------(2)

Equation (1) - Equation (2),

- 8 y = - 400

y = 50

By putting the value of y in equation (1),

We get , x = 50

Therefore, 50 gram of alloy that is 5% tin is mixed with 50 gram of alloy that is 45% tin for obtaining 100 gram of alloy that is 25% of tin.