Last year, the family's education expenditure accounted for 30% of the total expenditure, and food expenditure accounted for 40% of the total expenditure. The two expenditures totaled 5,600 yuan. How much was the total expenditure of Zhuang Zhuang's family last year?
去年，壮壮家教育支出占总支出的30%，食品支出占总支出的40%，两项支出一共是5600元．壮壮家去年一年的总支出是多少元？
<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>

<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>

<gadget id="calculator">(3/10) + (2/5)</gadget>
<output>7/10 = around 0.7</output>

<gadget id="calculator">5_600 / (7/10)</gadget>
<output>8_000</output>

<result>8_000</result>