Question

A food company produces raspberry coulis as a topping for its best-selling line, double strength chocolate mousse pie. Fresh raspberries comprising 5% seeds, 20% pulp solids, and 75% water are homogenised and placed in a stainless steel vat. Sugar is added to give a raspberry:sugar mass ratio of 3.5:1. The mixture is blended, strained to remove the seeds, then heated to reduce the water content to 35%. Half a tonne of coulis is produced every day.
Required:
a. What mass of raspberries is required per week?
b. How much sugar is required per week?
c. What is the sugar content of the coulis?

Answer 1

Answer:

5357.1429kg per week

2142.8571 kg per week

Explanation:

Given that :

Fresh Raspberries :

5% = seeds

20% = pulp solids

75% = water

Raspberry : Sugar = 3.5 : 1

Water content = 35%

Coulis produced per day = 0.5 tonnes

Mass of Raspberry produced per week :

Mass is measured in kg;

1 tonne = 1000kg

0.5 tonne = (1000/2) kg = 500kg

Mass of Coulis produced per week = 500kg * 7 = 3500kg

Coulis contains 35% water, Raspberry required 75% water :

(3500 / 35) * 75 = 7500kg

Raspberry : Sugar ratio = 3.5 : 1

Mass of Raspberry :

[7500 - (1 /3.5) * 7500]

7500 - 2142.8571

= 5357.1429kg per week

B.

Sugar required per week:

(1/3.5) * 7500kg

= 2142.8571 kg per week

C.)

Sugar content in coulis :