Question

tina makes 480 sandwiches. she only makes tuna sandwiches, beef sandwiches, ham sandwiches and cheese sandwiches. 3/8 of the sandwiches are tuna. 35% of the sandwiches are beef. the ratio of the number of ham sandwiches to the number of cheese sandwiched is 5 : 6. work out the number of ham sandwiches that tina makes

Answer 1

Answer:

3 / 8 ×480 + 35 /100× 480 + 5x + 6x = 480

180 + 24 × 7 + 11x = 480

180 + 168 + 11x = 480

348 + 11x = 480

11x = 480 - 348

= 132

x = 132 / 11

= 12

no of ham sandwiches = 5x

= 5 ×12

= 60

therefore , the no of ham sandwiches = 60

Answer 2

Answer:

Tina makes 60 ham sandwiches.

Explanation:

Given:

• Total sandwiches Tina made = 480 sandwiches
• Tuna sandwiches = 3/8
• Beef sandwiches = 35%
• The ratio of the number of ham sandwiches to the number of cheese sandwiches = 5: 6

Let the no. of ham sandwiches and cheese sandwiches be 5x and 6x respectively.

Then,

$\frac{3}{8}$ × $480 + \frac{35}{100}$ × $480 + 5x+6x =480$

$180+24$ × $7+11x=480$

$180+168+11x=480$

$348+11x=480$

$11x=480-348$

$11x=132$

$x=\frac{132}{11}$

$x=12$

Therefore,

No. of ham sandwiches = 5x = 5 × 12 = 60

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