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Any123

Can you please solve

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(a) Brown is half of pink (eq 1)

(b) Pink - 4 is half of Sundae (eq 2)

(c) Sundae = Pink + Brown (eq 3)

2 * (Pink - 4) = Pink + (Pink/2) => 2 Pink - 8 = Pink + Pink/2 => Pink - 8 = Pink/2 => Pink = 16 (from a,b,c)

After finding the value for pink, it's pretty easy...

Brown = 8 (from eq 1)

Purple = 2 (from eq 1, 4*Purple = Pink/2)

(16-4) /2 = 2 * Cone => 6 = 2 * Cone => Cone = 3 (eq 2)

Sundae = 16 + 8 = 24 (eq 3)

Didn't need eq 4, but you can verify using it... Brown + Cone = 11 => 8 + 3 = 11.

 

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For interest's sake, if no true fractions were involved at all, there is an alternative solution ...

Spoiler

cone = 0; sundae = 42; pink = 31; brown = 11; purple = 5

 

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