Question

2 diamond rings and 4 silver rings cost $1300. A diamond ring and a silver ring cost $510. How much is a diamond ring?

Answer 1

The cost of a diamond ring is $370.

Step-by-step explanation:

To find the cost of a diamond ring, let's create a system of equations using the given information. Let's say the cost of a diamond ring is D dollars and the cost of a silver ring is S dollars. We can set up the following equations:

2D + 4S = 1300 (equation 1)

D + S = 510 (equation 2)

We can solve these equations using a method called substitution.

From equation 2, we can express S in terms of D as S = 510 - D.

Substituting this into equation 1:

2D + 4(510 - D) = 1300

2D + 2040 - 4D = 1300

-2D = -740

D = 370

Therefore, the cost of a diamond ring is $370.

Answer 2

370

Step-by-step explanation:

510 times 2 is 1020 - cost for 2 diamond and 2 silver

1300-1020 is 280 - cost for remaining 2 silver

280 divided by 2 = 140 - cost for each silver

510-140 is cost for 1 dimond = 370