Question

Work out the number of ham sandwiches Tina had

Answer 1

Number of ham sandwiches Tina made = 60

Explanation:

Total number of sandwiches = 480

Fraction of total sandwiches which are Tuna =
`(3)/(8)`

Therefore, number of Tuna sandwiches =
`480* (3)/(8)`

= 180

Percentage of beef sandwiches = 35%

Therefore, beef sandwiches =
`480* (35)/(100)`

= 168

Ratio of ham sandwiches (h) and cheese sandwiches (c) = 5 : 6

`(h)/(c)=(5)/(6)`

`c=(6)/(5)h` ------(1)

Total number of Tuna sandwiches + Total number of beef sandwiches + Total number of ham sandwiches + Total number of cheese sandwiches = 480

180 + 168 + h + c = 480

h + c = 480 - 348

h + c = 132

Substitute the value of c from equation (1),

`h+(6)/(5)h=132`

`(11)/(5)h=132`

`h=(132* 5)/(11)`

`h=60`

Therefore, number of ham sandwiches Tina made = 60