At-home medical test kits have increased in popularity in recent years. This year, 340 million test kits are expected to be sold. This represents a \( 114 \% \) increase from the number of kits that were sold last year. How many medical test kits were sold last year? million test kits (Round to the nearest million.)
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The Deep Dive
To find out how many medical test kits were sold last year, we can set up the equation based on the information given. If \( x \) represents the number of test kits sold last year, we know that \( x \) increased by \( 114 \% \) to equal 340 million. This means we can express it as: \[ x + 1.14x = 340 \] Combining like terms, we get: \[ 2.14x = 340 \] To solve for \( x \), divide both sides by \( 2.14 \): \[ x = \frac{340}{2.14} \approx 158.41 \] Rounding to the nearest million, the number of medical test kits sold last year was approximately **158 million test kits**.