Question: There are 3 numbers that are consecutive integers. Together they have a sum of 18. What is the largest of the 3 numbers?
Answer with step-by-step thinking: Let N = smallest number. N + 1 = next number. N + 2 = largest number. N + (N + 1) + (N + 2) = 18. 3N + 3 = 18. 3N = 15. N = 5. The largest number is 7.
So the answer is 7.


Question: Three times the sum of marbles that Atticus, Jensen, and Cruz have is equal to 60. If Atticus has half as many marbles as Jensen, and Atticus has 4 marbles, how many marbles does Cruz have?
Answer with step-by-step thinking: Three times the sum of marbles that Atticus, Jensen, and Cruz have is equal to 60, meaning together they have 60 / 3 = 20 marbles. If Atticus has half as many marbles as Jensen, and Atticus has four marbles, Jensen has 2 * 4 = 8 marbles. Together, Atticus and Jensen have 8 + 4 = 12 marbles. Since the sum of marbles that Atticus, Jensen, and Cruz have is equal to 20, and Atticus and Jensen have 12 marbles, Cruz has 20 - 12 = 8 marbles.
So the answer is 8.


Question: Vikki worked 42 hours in one week. Her hourly pay rate is $10. From her weekly earnings, 20% is deducted as tax, 5% is deducted as insurance cover, and $5 is deducted for union dues. How much money, in dollars, does Vikki take home after deductions?
Answer with step-by-step thinking:
Vikki earnt 10 × $42 = $420 in one week. She then gets taxed $420 × 0.2 = $84. She also loses $420 × 0.05 = $21 due to insurance. Vikki also pays $5 in union dues. In total Vikki loses $84 + $21 + $5 = $110 because of deductions. Her final total pay after deductions is $420 - $110 = $310.
So the answer is 310.