A postcard book costs $2.50 and a magnet costs $4.0. If Shandra can spend up to $30 altogether, then the system of inequalities that represents the situation is 2.5 x + 4 y ≤ 30
The problem can be solved by translating the given word problem into algebraic expression.
Let:
x = the number of postcard books
y = the number of magnets
A postcard book costs $2. 50. It means if Shandra buys x postcards, total cost is:
total cost for postcard book = 2.5 x
A magnet costs $4.0. It means for y magnets, the cost is:
total cost for magnets = 4y
Total cost = total cost for postcard book + total cost for magnets
Total cost = 2.5 x + 4 y
She can spend up to $30 altogether. It means total cost should be less or equal to 30. Hence, mathematically,
2.5 x + 4 y ≤ 30
Therefore, the inequality that represent the situation is 2.5 x + 4 y ≤ 30
Your question is incomplete, but most probably your question was:
Shandra is on vacation and wants to buy souvenirs for at least eight friends. A postcard book costs $2.50 and a magnet costs $4.00. She can spend up to $30 all together. Which system of inequalities represents the situation?
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