A dietitian in a hospital is to arrange a special diet meal composed of Food A, Food B and Food C. The diet is to include exactly \(7800\) units of calcium, \(80\) units of iron and \(7.5\) units of vitamin A. The number of units of calcium, iron and vitamin A for each gram of the foods is indicated in the table.
Units Per Gram | |||
|---|---|---|---|
Food A | Food B | Food B | |
| Calcium | \(15\) | \(20\) | \(24\) |
| Iron | \(0.2\) | \(0.15\) | \(0.28\) |
| Vitamin A | \(0.015\) | \(0.02\) | \(0.02\) |
Find the total weight of the foods, in grams, of this special diet.[4]
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