Question

Work out the number of ham sandwiches Tina had

Answer 1

Answer:

Number of ham sandwiches Tina made = 60

Step-by-step explanation:

Total number of sandwiches = 480

Fraction of total sandwiches which are Tuna = $\frac{3}{8}$

Therefore, number of Tuna sandwiches = $480\times \frac{3}{8}$

                                                                   = 180

Percentage of beef sandwiches = 35%

Therefore, beef sandwiches = $480\times \frac{35}{100}$

                                                = 168

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

$\frac{h}{c}=\frac{5}{6}$

$c=\frac{6}{5}h$ ------(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),

$h+\frac{6}{5}h=132$

$\frac{11}{5}h=132$

$h=\frac{132\times 5}{11}$

$h=60$

Therefore, number of ham sandwiches Tina made = 60