Question

The math club has $1256 to send on food for a party. Beef = $11, chicken = $9 and vegetarian = $7. * Vegetarian dishes are purchased. Write an inequality

Answer 1

`11b+9c+7v\leq 1256`

Explanation:

Let 'b' plates of beef, 'c' plates of chicken, and 'v' plates of vegetarian dishes are purchased for the party.

Given:

Cost of 1 plate of beef dish = $11

Cost of 1 plate of chicken dish = $9

Cost of 1 plate of vegetarian dish = $7

Total money available to spend = $1256

So, as per question:

Total money spent on purchasing the dishes must be less than or equal to the total money available by the Math club.

Total cost of all the dishes is equal to the sum of the costs of 'b' plates of beef, 'c' plates of chicken, and 'v' plates of vegetarian dishes.

Therefore, total cost of all the dishes is given as:

Total cost =
`11b+9c+7v`

Now, the inequality for the given situation is:

Total cost on dishes ≤ Total money available to spend

⇒
`11b+9c+7v\leq 1256`

Hence, the inequality is
`11b+9c+7v\leq 1256`