an artist is selling childrens crafts. necklaces cost $2.25 each, and bracelets cost $1.50 each. select all…

an artist is selling childrens crafts. necklaces cost $2.25 each, and bracelets cost $1.50 each. select all the combinations of necklaces and bracelets that the artist could sell for exactly $12.00. a 5 necklaces and 1 bracelet b 2 necklaces and 5 bracelets c 3 necklaces and 3 bracelet d 4 necklaces and 2 bracelets e 3 necklaces and 5 bracelets f 6 necklaces and no bracelets g no necklaces and 8 bracelets

an artist is selling childrens crafts. necklaces cost $2.25 each, and bracelets cost $1.50 each. select all the combinations of necklaces and bracelets that the artist could sell for exactly $12.00. a 5 necklaces and 1 bracelet b 2 necklaces and 5 bracelets c 3 necklaces and 3 bracelet d 4 necklaces and 2 bracelets e 3 necklaces and 5 bracelets f 6 necklaces and no bracelets g no necklaces and 8 bracelets

Answer

Explanation:

Step1: Set up cost - equation

Let $n$ be the number of necklaces and $b$ be the number of bracelets. The cost equation is $2.25n + 1.5b=12$.

Step2: Test option A

For $n = 5$ and $b = 1$, substitute into the equation: $2.25\times5+1.5\times1=11.25 + 1.5=12.75\neq12$.

Step3: Test option B

For $n = 2$ and $b = 5$, substitute into the equation: $2.25\times2+1.5\times5=4.5 + 7.5=12$.

Step4: Test option C

For $n = 3$ and $b = 3$, substitute into the equation: $2.25\times3+1.5\times3=6.75+4.5 = 11.25\neq12$.

Step5: Test option D

For $n = 4$ and $b = 2$, substitute into the equation: $2.25\times4+1.5\times2=9 + 3=12$.

Step6: Test option E

For $n = 3$ and $b = 5$, substitute into the equation: $2.25\times3+1.5\times5=6.75 + 7.5=14.25\neq12$.

Step7: Test option F

For $n = 6$ and $b = 0$, substitute into the equation: $2.25\times6+1.5\times0 = 13.5\neq12$.

Step8: Test option G

For $n = 0$ and $b = 8$, substitute into the equation: $2.25\times0+1.5\times8=12$.

Answer:

B. 2 necklaces and 5 bracelets, D. 4 necklaces and 2 bracelets, G. No necklaces and 8 bracelets