Problems

Jose, Cho, and Onika want to find the mean of their ages. Cho is 2 years younger than Onika, and Jose is 3 years older than Cho. Jose is 10 years old. What is the mean of their ages?

Annie invites her class of 26 students to her birthday party. If cupcakes are sold in packs of twelve, how many packs of cupcakes does Annie need to buy?

Annie has 36 cupcakes. If she eats three cupcakes and throws six at a fence, how many does she have left?

Annie and Sebastian live next door to each other. The perimeter of both their yards is 110 ft. If Sebastian’s yard is only 2/3 the size of Annie’s, what is the area of Annie’s yard?

Annie’s parents are going to have another child. What is the probability that the child will save their deteriorating marriage?

Sebastian makes $220 every month. He wants to buy a $1500 car in 6 months. What fraction of his money should he set aside each month to afford the car?

There are 289 days until graduation. There are 24 vacation days in addition to a 2-day weekend after every 5 days. How many school days are left?

Annie earns $8.25/hr. She needs to earn $400/month for rent and $300/month for food and other things. How many hours does she need to work each week? Consider that she makes 1.5 times that amount after 40 hours in one week, and that 9.5% is taken out for taxes.

How many seconds pass in 8 years? There are 365 days in a year, 24 hours in a day, 60 minutes in an hour, and 60 seconds in a minute. Do not compensate for leap years.

Sebastian takes out a mortgage of $150,000. He agrees to pay back this mortgage at $ 1074.65 per month. But part of that payment goes to pay the interest for the month on the balance remaining. The interest rate is 6% per year, so he pays 0.5% per month. Find the balance remaining at the end of the first year of the mortgage.

Annie takes out a student loan at a fixed interest rate of 4.66%. Her tuition costs $5,472/yr and she plans on attending the school for four years. If Annie puts $200/month towards her loan and $450/month after the four years, how many years will it take her to pay off the loan?

Sebastian wants to see a psychiatrist 4 times a month. He can either pay $120 per visit or buy insurance for $450/month and pay a co-pay of $15 each visit. He can also visit a bar 4 times a week, spending $27 each time. What choice is most cost-effective?

Annie works 3 shifts a week. She earns $250 for the first hour she works and $80 for each hour after that. How many hours should she work to earn $1,000/week?

Sebastian visits a gym 3 times a week. He can either buy a monthly pass for $64/month or pay a $5 entry fee each time he visits. Which choice is more cost-effective?

224 out of a 489 person class attend a high school reunion. How many different guest lists are possible? Is this a combination or a permutation?

Sebastian pays for 2 bread stick baskets and a drink. The drink was $7 and the bread stick baskets were $3 each. How much is a 30% tip?

Annie has 257 Facebook friends. She checks her feed twice a week. If the each friend creates an average of 3 pieces of content each day, how many posts and likes will Annie be alerted to each month?

Sebastian withdraws $67,852 from his IRA. He incurs a 10% penalty for the early withdrawal and must pay 9.5% tax on the money he withdrew. How much money does he have left?

Main Street Florist sells Premium Sympathy Bouquets for 89.99 including delivery, or a Gladioli basket for 79.99 plus 10% for delivery. Which choice costs less?

Annie and Jose are expecting twins. The chances of the twins being fraternal rather than identical are 60:250. What is the probability of them having one boy and one girl?

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