Question

The Tent Market sells two-person tents for $299 and three-person tets for $399. During May, 8 more two-person tents than three-person tents were sold for a total of $10,768 if a represents the number of two person tents and b represents the number of three- person tents,the following system of equations that can be used to find a and b a-b=8 299a+399b=10,768 How many total tents were sold?

Answer 1

The system of equation that can be used to represent the situation is as follows;

a - b = 8

299a+399b=10,768

The total tents that were sold is 20.

a = number of two person tent

b = number of three person tent

The Tent Market sells two-person tents for $299 and three-person tents for $399. In may , 8 more two-person tents than three-person tents were sold for a total of $10,768. Therefore, the following equation is formed.

Combined equation

• b + 8 = a; a - b = 8

• 299(b+8) + 399b = 10768

Therefore,

299(b+8) + 399b = 10768

299b + 2392 + 399b = 10768

698b = 8376

b = 8376 / 698

b = 12

Therefore,

a = 12 + 8 = 20

Therefore, 20 two person tent were sold and 12 three person tent were sold. The total tents that were sold is 20.

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