Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Discover in-depth answers to your questions from a wide network of experts on our user-friendly Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Theresa has an umbrella stand at the beach. - All of them are blue, except for six. - All of them are yellow, except for six. - All of them are red, except for six. How many blue umbrellas does Theresa have?

Sagot :

MrRoyal

Answer:

3 Blue Umbrellas

Step-by-step explanation:

Given

[tex]B \to Blue[/tex]

[tex]Y \to Yellow[/tex]

[tex]R \to Red[/tex]

From the question, we have:

[tex]Y + R = 6[/tex] ---- i.e. 6 are not blue

[tex]B + R = 6[/tex] ---- i.e. 6 are not yellow

[tex]B + Y = 6[/tex] ---- i.e. 6 are not red

Required

The number of blue umbrellas

Make B the subject in: [tex]B + Y = 6[/tex]

[tex]B = 6 - Y[/tex]

Substitute: [tex]B = 6 - Y[/tex] in [tex]B + R = 6[/tex]

[tex]6 - Y + R = 6[/tex]

Collect like terms

[tex]R - Y = 6 - 6[/tex]

[tex]R - Y = 0[/tex]

Rewrite:

[tex]R = Y[/tex]

Substitute [tex]R = Y[/tex] in [tex]Y + R = 6[/tex]

[tex]Y + Y = 6[/tex]

[tex]2Y = 6[/tex]

Divide both sides by 2

[tex]Y=3[/tex]

Recall that: [tex]B = 6 - Y[/tex]

[tex]B = 6 - 3[/tex]

[tex]B = 3[/tex]

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.