At a sandwich shop, sandwiches cost $1.50 each and fruit drinks At cost $.40 each. If a bill for an order of 20 items was $17.00, how many fruit drinks were ordered?

1 Answer
Oct 7, 2017

Number of fruit drinks ordered were 12.

Explanation:

Given that:
Cost of one sandwich = $ 1.50 and
Cost of one fruit drink = $0 .40 .
An order of 20 items was placed.
And the bill was $17.00.
Asked: How many fruit drinks were ordered?
Solution:
Let the number of sandwiches be ordered be #x#.
So the number of fruit drinks ordered will be = #20-x#

Cost of #x# sandwiches will be = #$ 1.50\ times x# = #$ 1.50 x#
and

Cost of #(20-x)# fruit drinks will be = #$0 .40 .\ times (20-x)#

= #$0 .40 (20-x) = $ 8.00 - $0.40x#

The bill will be : cost of sandwiches + cost of fruit drinks.

=#$ 1.50 x +$ 8 - $0.40x# =#$ 8 + $1.10x#

We know that the total bill was $17.00 . That means,

$ 8 + $1.10x =$ 17.00#

#1.10 x= $17.00- $8.00#

# x = $9/ 1.10 = $8.1818 ~~ 8#

Number of sandwiches is #x= 8#

so number of fruit drinks will be # 20 - x= 20-8 = 12#

Therefore

Number of fruit drinks ordered were 12.