What is the answer to this "q+d=24, .25q+ .10d= 4.95"

d=7 and q+0=17

Step-by-step explanation:

I will solve your system by substitution.

(You can also solve this system by elimination.)

d+q=24;0.10d+0.25q=4.95

Step: Solve d+q=24 for d:

d+q+ (−q) =24+(−q) (Add -q to both sides)

d=−q+24

Step: Substitute −q +24 for d in 0.10d+0.25q=4.95:

0.10d+0.25q=4.95

0.10(−q+24)+0.25q=4.95

0.15q+2.4=4.95 (Simplify both sides of the equation)

0.15q+2.4+(−2.4) =4.95+(−2.4) (Add -2.4 to both sides)

0.15q+0=2.55

0.15q+0 /0.15  = 2.55/0.15   (Divide both sides by 0.15)

q+0=17

Step: Substitute 17 for q in d= −q+24:

d= −q+24  

d= −17+24

d=7  (Simplify both sides of the equation)