Question

Michel wants to buy his mother handmade chocolates for Mother’s Day. He has $15.00 to spend. The price of each type of chocolate is given below.

Fudge centres: $0.60 Nut clusters: $0.75 Truffles: $0.80

Michel’s final choice costs $14.80. It is a combination of all three types of chocolates.
a) Determine four possible combinations of chocolates he
could have selected.
b) Create and evaluate an algebraic expression to show that
each of your combinations works.

Answer 1

Michel could buy a mix of handmade chocolates within his budget of $15 in several ways. By using algebraic expressions, it's shown that combinations of different quantities of Fudge centres, Nut clusters, and Truffles can total $14.80.

Step-by-step explanation:

Michel is looking to buy handmade chocolates for Mother's Day and he has $15 to spend. The prices for the chocolates are: Fudge centers at $0.60 each, Nut clusters at $0.75 each, and Truffles at $0.80 each. Michel ends up selecting chocolates that total $14.80, which includes a combination of all three types.

Four Possible Combinations

10 Fudge centres, 8 Nut clusters, 14 Truffles

15 Fudge centres, 12 Nut clusters, 10 Truffles

20 Fudge centres, 6 Nut clusters, 12 Truffles

5 Fudge centres, 15 Nut clusters, 13 Truffles

Algebraic Expressions and Evaluations

Combination 1: 10($0.60) + 8($0.75) + 14($0.80) = $6.00 + $6.00 + $11.20 = $14.80

Combination 2: 15($0.60) + 12($0.75) + 10($0.80) = $9.00 + $9.00 + $8.00 = $14.80

Combination 3: 20($0.60) + 6($0.75) + 12($0.80) = $12.00 + $4.50 + $9.60 = $14.80

Combination 4: 5($0.60) + 15($0.75) + 13($0.80) = $3.00 + $11.25 + $10.40 = $14.80