Question

Ariana Grande spent $25 to buy 9 flowers for her mother. She bought roses which cost $3 and daisies which cost $2. Look at the real world problem below and give the TWO equations needed to solve the system as well as the ANSWER TO THE SYSTEM. THERE WILL BE 3 TOTAL ANSWERS.

Answer 1

3r+2d=25

r+d=9

r=7 d=2

Explanation:

use second equation and solve for d then

3r+2(9-r)=25

3r+18-2r=25

r=25-18

r=7

if r+d=9 and r=7 THEN d=2

Answer 2

let x be the number of roses and y the number of daisies

x+y= 9 ( flowers)

3*x will be the cost of the roses

2*y will be the cost of daisies

then 3x+2y= 25 $ ( the cost of the 9 flowers)

therefore the 2 equations

x+y= 9

3*x+ 2*y= 25

solution of the two equations:

we multiply the 1st equation by 2

2x+ 2y= 18

3x+2*y= 25

2nd equation minus 1st equation we will have:

x= 7 therefore y=2

Explanation: