## Katy is buying vases and mason jars for her flower arrangements. She needs to buy at least 7 containers, but she only has $72 to spend. Each

Question

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## Answers ( )

Answer:3 Vases

4 Mason jars

Step-by-step explanation:The vase costs $12 and the mason jar costs $8. She has $72 to spend. We know that she must at least buy 7 containers. Let vase be x₁ and mason jar x₂. We have two equations:

[tex]x_1+x_2=7[/tex]

[tex]72=12x_1+8x_2[/tex]

WE can solve the value by substitution:

[tex]x_1=7-x_2[/tex]

[tex]72=12(7-x_2)+8x_2[/tex]

[tex]x_2=3[/tex]

Therefore:

[tex]x_1=7-3=4[/tex]