4) What is the solution of \( 86 \cdot 90= \) \( 5 a+100 ? \) AI B. 2 C 3 D 4
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To find the solution of the equation \( 86 \cdot 90 = 5a + 100 \), first compute \( 86 \cdot 90 \), which equals 7740. Next, set up the equation: \( 7740 = 5a + 100 \). Subtract 100 from both sides to get \( 7740 - 100 = 5a \), leading to \( 7640 = 5a \). Finally, divide both sides by 5 to solve for \( a \), resulting in \( a = 1528 \). Craving a bit of an extra challenge? Consider how this formula might apply to real-life scenarios, like when calculating budget splits among friends or estimating costs for a project. It’s crazy how a simple algebraic equation helps in managing finances, making sure everyone’s happy when the bill arrives!