Answer:
Number of ham sandwiches Tina made = 60
Step-by-step explanation:
Total number of sandwiches = 480
Fraction of total sandwiches which are Tuna = [tex]\frac{3}{8}[/tex]
Therefore, number of Tuna sandwiches = [tex]480\times \frac{3}{8}[/tex]
= 180
Percentage of beef sandwiches = 35%
Therefore, beef sandwiches = [tex]480\times \frac{35}{100}[/tex]
= 168
Ratio of ham sandwiches (h) and cheese sandwiches (c) = 5 : 6
[tex]\frac{h}{c}=\frac{5}{6}[/tex]
[tex]c=\frac{6}{5}h[/tex] ------(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),
[tex]h+\frac{6}{5}h=132[/tex]
[tex]\frac{11}{5}h=132[/tex]
[tex]h=\frac{132\times 5}{11}[/tex]
[tex]h=60[/tex]
Therefore, number of ham sandwiches Tina made = 60
