Question

Upperloaf Bakery is baking loaves of cornbread and poppy-seed blueberry cake. The recipe for one loaf of corn bread calls for 2 1/4 cups of flour and 1 1/4 teaspoon of baking soda. One loaf of poppy-seed blueberry cake requires 1 3/4 cups of flour and 2 1/8 teaspoons of baking soda. The bakery has 28 cups of flour and 30 teaspoons of baking soda in stock.

Answer 1

2.25c + 1.75p ≤ 28

1.25c + 2.125p ≤ 30

Explanation:

Write a system of two inequalities to model loaves of bread and

cake that can be baked.

let

number of cornbread loaves = c

number of poppy-seed blueberry Cake loaves = p

corn bread

cups of flour = 2 1/4 = 2.25

teaspoon of baking soda = 1 1/4 = 1.25

One loaf of poppy-seed blueberry cake

cups of flour = 1 3/4 = 1.75

teaspoons of baking soda = 2 1/8 = 2.125

The bakery has 28 cups of flour and 30 teaspoons of baking soda in stock.

Quantity of flour to use

c(2.25) + p(1.75)

Quantity of baking soda to use

c(1.25) + p(2.125)

The inequality is

c(2.25) + p(1.75) ≤ 28

c(1.25) + p(2.125) ≤ 30

Alternatively,

2.25c + 1.75p ≤ 28

1.25c + 2.125p ≤ 30