Subjects algebra

Fruit Sums

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Fruit Sums


1. Let's define the variables: - Let $G$ = grapes - Let $O$ = orange - Let $A$ = avocado - Let $L$ = lemon 2. From the problem, we have the system: $$G + O = 24$$ $$A - L = G + O = 24$$ $$A + L = 16$$ 3. Add the last two equations: $$ (A - L) + (A + L) = 24 + 16 $$ $$ 2A = 40 $$ $$ A = 20 $$ 4. Substitute $A=20$ into $A + L = 16$: $$ 20 + L = 16 $$ $$ L = 16 - 20 = -4 $$ 5. Finally, find $G + O + A$: $$ G + O + A = 24 + 20 = 44 $$ Answer: The sum of grapes, orange, and avocado is $44$.