Question

Valerie is ordering salads and drinks for her friends. Salads cost $7 each, drinks cost $3 each, and there is a $5 delivery charge per order. she has $50. If she buys 3 salads what is the maximum number of drinks she can buy

If x= number of salads and y= number of drinks, which of the following inequalities could you use to answers the problem

A. 7x-3y+5≤50
B.7x+3y+5≤50
C. x+y=50
D. 7x+3y+5≥50

Answer 1

she can buy at max 8 drinks.

and The given problem can be represented using inequalities as,

7x + 3y + 5 ≤ 50

Explanation:

Given : Valerie is ordering salads and drinks for her friends. Salads cost $7 each, drinks cost $3 each, and there is a $5 delivery charge per order. she has $50.

We have to find the maximum number of drinks she can buy.

Let x = number of salads and y = number of drinks.

Given : Salads cost $7 each so cost of x salads will be $ 7x

drinks cost $3 each so cost of y drinks will be $ 3y

Also, given she has $50 and also there is a $5 delivery charge per order.

So the given problem can be represented using inequalities as,

7x + 3y + 5 ≤ 50

Now, to find the number of drinks she can buy if she buys 3 salads is given by,

Put x = 3 and solve for y, we get,

7(3) + 3y + 5 ≤ 50

⇒ 21 + 3y + 5 ≤ 50

⇒ 26 + 3y ≤ 50

Subtract 26 both sides, we have,

⇒ 3y ≤ 50 - 26

⇒ 3y ≤ 24

Now divide 3 both side, we have,

⇒ y ≤ 8

Thus, she can buy at max 8 drinks.

Answer 2

Given:
salad = 7 each
drinks = 3 each
delivery charge = 5 per order
budget = 50

x = number of salad ; y = number of drinks

B.) 7x + 3y + 5 < 50

This is the correct inequality. The sum of the orders and delivery charge should be less than or equal 50.