Answer:
The price of uniform U= $145
price of each pair of cleats C= $16
Step-by-step explanation:
Let:
The Price of Each Uniform = U
The Price of Each Pair of Cleats = C
Rigo spent $451, before taxes, and purchased three uniforms and one pair of cleats.
→ Equation A
Ian spent $757, before taxes, and purchased five uniforms and two pair of cleats.
→ Equation B
Let's calculate → 2(Equation A) - (Equation B)
2(3U+C)-(5U+2C)= 2(451) -757
6U+2C-5U-2C= 145
U=$ 145
3U+C= 451
3(145)+C= 451
C= 451-435
C= $16
part A:
let u be the cost of each uniform and c be the cost of each pair of cleats .
rigo bought 3 uniforms and 1 pair of cleats so he spent 3u dollars on uniforms and c dollars on cleats .the total amount he spent was then 3u + c =451.
lan bought 5 uniforms and 2 pairs of cleats so he spent 5u dollars on uniforms and 2c dollars on cleats .the total amount he spent was then 5u +2c =757.
the system of equations is then
{3u + c = 451
{5u + 2c =757
part B :
to use the elimination method ,one of the variables terms in each equation must have opposite coefficients.the second equation has a coefficient of 2 for the c term so multiply the first equation by -2 .this gives -6u - 2c = -902 .add this new equation to 5u + 2c =757 to eliminate c and then solve for u :
5u + 2c =757
-6u - 2c = -902
-u = -145
u =145
substitute u= 145 into 3u +c=451 and solve for c;
3u +c = 451
3 (145) + c = 451
435 + c =451
c = 16
therefore ,the price of each uniform is $145 and the price for each pair of cleats is $16.
