Let's solve this step by step! 🎉
**Step 1:** Imagine Lily has some money. Let's call Lily's money $x$.
**Step 2:** Henry has $46$ more than Lily. So Henry has $$x + 46$$ dollars.
**Step 3:** Jack has $66$ more than Henry. So Jack has $$x + 46 + 66 = x + 112$$ dollars.
**Step 4:** Lily spends $50$, so Lily now has $$x - 50$$ dollars.
**Step 5:** After Lily spends, Henry has 4 times what Lily has left.
So, $$x + 46 = 4(x - 50)$$.
**Step 6:** Let's solve the equation:
$$x + 46 = 4x - 200$$
Move $x$ to the right and numbers to the left:
$$46 + 200 = 4x - x$$
$$246 = 3x$$
Divide both sides by 3:
$$x = \frac{246}{3} = 82$$
**Step 7:** Now we know Lily had $82$ dollars at first.
Henry had $$82 + 46 = 128$$ dollars.
Jack had $$128 + 66 = 194$$ dollars.
**Step 8:** Let's add their money together:
$$82 + 128 + 194 = 404$$
**Great!** They had $404$ dollars altogether at first! 🎯
**Visual:**
Group 1: Lily's money (82):
🍎 🍎 🍎 🍎 🍎
🍎 🍎 🍎 🍎 🍎
🍎 🍎 🍎 🍎 🍎
🍎 🍎
(82)
➕
🍎 🍎 🍎 🍎 🍎
🍎 🍎 🍎 🍎 🍎
🍎 🍎 🍎 🍎 🍎
🍎 🍎
(82)
Group 2: Henry's money (128):
🍌 🍌 🍌 🍌 🍌
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🍌 🍌 🍌 🍌 🍌
🍌 🍌 🍌 🍌 🍌
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🍌 🍌 🍌
(128)
➕
🍌 🍌 🍌 🍌 🍌
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🍌 🍌 🍌 🍌 🍌
🍌 🍌 🍌 🍌 🍌
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🍌 🍌 🍌
(128)
Group 3: Jack's money (194):
🍇 🍇 🍇 🍇 🍇
🍇 🍇 🍇 🍇 🍇
🍇 🍇 🍇 🍇 🍇
🍇 🍇 🍇 🍇 🍇
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(194)
=
🍇 🍇 🍇 🍇 🍇
🍇 🍇 🍇 🍇 🍇
🍇 🍇 🍇 🍇 🍇
🍇 🍇 🍇 🍇 🍇
🍇 🍇 🍇 🍇 🍇
🍇 🍇 🍇 🍇 🍇
🍇 🍇 🍇 🍇 🍇
🍇 🍇 🍇 🍇
(194)
Total money:
💰 💰 💰 💰 💰
(404 dollars)
You did awesome! 🎉 Keep it up!💰 💰 💰 💰 💰
(404 dollars)