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 $44$.