Elise, Maggie, and Francesca work for an insurance company making follow-up calls to clients. Each person works at a different rate. The table below shows the number of hours each person works over three days and the total number of calls that are made. Hours Worked and Total Calls Made EliseMaggieFrancescaTotal CallsMonday778247Tuesday659218Wednesday931156Elise makes the same number of calls every hour, Maggie makes the same number of calls every hour, and Francesca makes the same number of calls every hour. If Elise earns $1.50 per phone call, how much money does Elise make over the 3 days?
Let Elise’s hourly call rate be e, Maggie’s be m, and Francesca’s be f. The table gives 7e + 7m + 8f = 247, 6e + 5m + 9f = 218, and 9e + 3m + f = 156; solving these equations gives e = 12 calls per hour. Elise works 7 + 6 + 9 = 22 hours, so she makes 22 × 12 = 264 calls. At $1.50 per call, she earns 264 × $1.50 = $396.00, choice C.
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