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?

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 :