# "For Math Lovers" Tricky Challenges (3)?

Bernt takes his mother to a restaurant for Mother’s Day Brunch. They can select as much food as they want from the buffet for a cost of \$15.00 each or they can order from the ala carte menu and pay for each item separately.

Ala Carte

Orange Juice

Toast

Cereal

2 Eggs

Bacon

Fruit

Potatoes

Cost

\$1.50

\$1.75

\$1.50

\$2.00

\$1.75

\$1.50

\$1.50

Bernt orders the buffet and his mother orders one of each item from the ala carte menu. There is a 6% sales tax and a 15% service fee, both of which are based solely on the price of the food. What is the amount of the total bill including the tax and service fee?

Relevance

So we know Brent spent \$15

His mother spends-:

\$1.5 + \$1.75 + \$ 1.5 + \$2 + \$1.75 + \$1.5 + \$ 1.5 = \$11.50

Total Spend = \$26.50

Sales Tax = \$26.50 x 0.06 = \$1.59

15% Service Fee = \$26.50 x 0.15 = \$3.975

Grand Total = \$26.50 + \$1.59 + \$3.975 = \$32.065

But money is always rounded up to the nearest cent, so

\$32.065 rounded up is \$32.07

Bernt's order

15 + (15 x 6%) + (15 x 15%) =

15 + 0.90 + 2.25 =

\$18.15

Bernt's mother order

11.50 + (11.50 x 6%) + (11.50 x 15%) =

11.50 + .69 + 1.725 =

\$ 13.915

Total : 18.15 + 13.915 = 32.065

or \$ 32.07 ==> total amount of bill