Mathematics: 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?

11 ezStep-by-step explanation: 1 + 1 = 11(Btw if you re serious it s 2) ;)...

Theresa has an umbrella stand at the beach. - All

student0724

03.07.2021

3 Blue Umbrellas

Step-by-step explanation:

Given

$B \to Blue$

$Y \to Yellow$

$R \to Red$

From the question, we have:

Y + R = 6 ---- i.e. 6 are not blue

B + R = 6 ---- i.e. 6 are not yellow

B + Y = 6 ---- i.e. 6 are not red

Required

The number of blue umbrellas

Make B the subject in: B + Y = 6

B = 6 - Y

Substitute: B = 6 - Y in B + R = 6

6 - Y + R = 6

Collect like terms

R - Y = 6 - 6

R - Y = 0

Rewrite:

R = Y

Substitute R = Y in Y + R = 6

Y + Y = 6

2Y = 6

Divide both sides by 2

Y=3

Recall that: B = 6 - Y

B = 6 - 3

B = 3

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