Question Erica earned a total of \( \$ 50,450 \) last year from her two jobs. The amount she earned from her job at the store was \( \$ 1,250 \) more than four times the amount she earned from her job at the college. How much did she earn from her job at the college?

To solve the problem, let's define the amount Erica earned from her job at the college as \( x \). According to the information provided, her earnings from her job at the store can be expressed as \( 4x + 1,250 \). The total earnings from both jobs add up to \( \$ 50,450 \). Therefore, we can set up the equation: \[ x + (4x + 1,250) = 50,450 \] Combining like terms, we have: \[ 5x + 1,250 = 50,450 \] Now, subtract \( 1,250 \) from both sides: \[ 5x = 50,450 - 1,250 \] \[ 5x = 49,200 \] Next, divide both sides by \( 5 \): \[ x = \frac{49,200}{5} \] \[ x = 9,840 \] So, Erica earned \( \$ 9,840 \) from her job at the college! To find out how much she earned from her job at the store, plug \( x \) back into the store's earnings formula: \[ 4x + 1,250 = 4(9,840) + 1,250 = 39,360 + 1,250 = 40,610 \] Erica earned \( \$ 40,610 \) from her store job. Thus, the amounts are \( \$ 9,840 \) from the college and \( \$ 40,610 \) from the store, confirming that her total earnings sum correctly to \( \$ 50,450 \). You did it!