To solve the pair of linear equations, you can use the method of substitution or elimination.
For the equations:
1. b + c = 2,000
2. 5b + 10c = 12,500
Let's solve using the method of substitution:
From equation 1:
b = 2,000 - c
Substitute this value of b into equation 2:
5(2,000 - c) + 10c = 12,500
10,000 - 5c + 10c = 12,500
5c = 2,500
c = 500
Now substitute c back into equation 1 to solve for b:
b + 500 = 2,000
b = 1,500
Therefore, the Jackson Jammers plan to give away 1,500 bags and 500 caps at the next game.
The Jackson Jammers are giving away bags and caps at their next game. The bags, b , cost them $10 each, and the caps, c , cost them $5 each. They plan to give away 2,000 total items and have a budget of $12,500. Write the pair of linear equations that model this situation. Responses b+c=2,000 ; 5b+10c=12,500 b plus c is equal to 2 comma 000; 5 b plus 10 c is equal to 12 comma 500 - incorrect b+c=12,500 ; 5b+10c=2,000 b plus c is equal to 12 comma 500; 5 b plus 10 c is equal to 2 comma 000 - no response given b+c=2,000 ; 10b+5c=12,500 b plus c is equal to 2 comma 000; 10 b plus 5 c is equal to 12 comma 500 - not selected, this is the correct answer b+c=12,500 ; 10b+5c=2,000 b plus c is equal to 12 comma 500; 10 b plus 5 c is equal to 2 comma 000 - no response given write out how to solve problem
1 answer
1 answer