snoods and gricklies\ntwo new products have come on the market that every kid in america is dying to own…

snoods and gricklies\ntwo new products have come on the market that every kid in america is dying to own. cute little snoods and prickly gricklies are selling like hot potatoes at toys r us. sally stops in and purchases 6 snoods and 5 gricklies and spends $28.00. linda purchases 5 snoods and 3 gricklies and spends $21.00\nwrite a system of equations to model sally’s and linda’s purchases and then determine the cost of a snood and the cost of a grickly.

snoods and gricklies\ntwo new products have come on the market that every kid in america is dying to own. cute little snoods and prickly gricklies are selling like hot potatoes at toys r us. sally stops in and purchases 6 snoods and 5 gricklies and spends $28.00. linda purchases 5 snoods and 3 gricklies and spends $21.00\nwrite a system of equations to model sally’s and linda’s purchases and then determine the cost of a snood and the cost of a grickly.

Answer

Explanation:

Step1: Set up variables

Let (x) be the cost of a Snood and (y) be the cost of a Grickly.

Step2: Write equations based on purchases

For Sally: (6x + 5y=28) For Linda: (5x + 3y = 21)

Step3: Solve the system of equations

Multiply the first equation by (3) and the second by (5) to eliminate (y). First equation after multiplication: (18x+15y = 84) Second equation after multiplication: (25x+15y=105) Subtract the first new - equation from the second: ((25x + 15y)-(18x + 15y)=105 - 84) (25x+15y - 18x-15y=21) (7x=21), so (x = 3) Substitute (x = 3) into (5x+3y=21): (5\times3+3y=21) (15+3y=21) (3y=21 - 15) (3y=6), so (y = 2)

Answer:

The cost of a Snood ((x)) is ($3) and the cost of a Grickly ((y)) is ($2)