Question

1 dawn is ordering 1 veggie sandwich for every 3 ham sandwiches. she need 12 sandwiches in all. veggie sandwiches cost $4.00 each, and ham sandwiches cost $4.50 each. how much will dawn spend on sandwiches? show your work.

Explanation:

Step1: Determine the number of each type of sandwich

The ratio of veggie to ham sandwiches is \(1:3\). Let the number of veggie sandwiches be \(x\) and ham sandwiches be \(3x\). The total number of sandwiches is \(x + 3x=12\). Solving \(4x = 12\) gives \(x=\frac{12}{4}=3\). So, veggie sandwiches: \(3\), ham sandwiches: \(3\times3 = 9\).

Step2: Calculate the cost for each type of sandwich

Cost of veggie sandwiches: \(3\times\$4.00=\$12.00\). Cost of ham sandwiches: \(9\times\$4.50=\$40.50\).

Step3: Calculate the total cost

Total cost = Cost of veggie + Cost of ham = \(\$12.00+\$40.50=\$52.50\).

Answer:

\(\$52.50\)