Question

Martin is ordering pizzas and cupcakes for a house party. He calls the Eat All bakery, and places order for x pizzas and y cupcakes. If a pizza costs $12\$$ and a cupcake costs $7\$$ and he had planned a budget of $90\$$ at the most, then which of the following inequalities models the situation in the best possible way?

• A. $12x+7y<90$
• B. $12x+7y\le 90$
• C. $7x+12y>90$
• D. $7x+12y\ge 90$

Answer 1

The correct option is B $12x+7y\le 90$

Step 1 : Underline the key words

Martin is ordering pizzas and cupcakes for a house party. He calls the Eat All bakery, and places order for x pizzas and y cupcakes. If a pizza costs $12\$$ and a cupcake costs $7\$$ and he had planned a budget of $90\$$ at the most.

Step 2 : Recognize the variables

Number of pizzas $=x$
Number of cupcakes $=y$

Step 3 : Decipher the relation

Pizza costs $12\$$,therefore total cost if he buys x pizza $=12x$
and cupcake costs $7\$$, therefore total cost if he buys y cupcakes $=7y$
Total cost for food = 12x + 7y

Step 4: Decide the inequality
[Look out for clue words]
As, he has a budget of $90\$$ at the most, then it implies $12x+7y\le 90$.
Hence, the answer is B.