Subjects arithmetic

Money Together Eb2Acf

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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)
Group 2: Henry's money (128):
🍌 🍌 🍌 🍌 🍌
🍌 🍌 🍌 🍌 🍌
🍌 🍌 🍌 🍌 🍌
🍌 🍌 🍌 🍌 🍌
🍌 🍌 🍌 🍌 🍌
🍌 🍌 🍌

(128)
Group 3: Jack's money (194):
🍇 🍇 🍇 🍇 🍇
🍇 🍇 🍇 🍇 🍇
🍇 🍇 🍇 🍇 🍇
🍇 🍇 🍇 🍇 🍇
🍇 🍇 🍇 🍇 🍇
🍇 🍇 🍇 🍇 🍇
🍇 🍇 🍇 🍇 🍇
🍇 🍇 🍇 🍇

(194)
=
Total money:
💰 💰 💰 💰 💰
(404 dollars)
You did awesome! 🎉 Keep it up!