Joe needs to buy supplies for a birthday party. At the store, balloons cost $0.50 each and party hats each cost $1.25. If Joe wa
1 answer:
Answer:
Step-by-step explanation:
Let b be the number of balloons and h be number of party hats.
We have been given that balloons cost $0.50 each, so cost of b balloons will be 0.50b.
We are also told that party hats each cost $1.25, so cost of h party hats will be 1.25h.
Further, Joe wants to spend exactly $20 on the party supplies. We can represent this information in an equation as:
Therefore, the equation represents the number of balloons ( b) and the number of party hats ( h) that Joe can buy spending exactly $20.
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Answer:
A.
Step-by-step explanation:
<em>NOTE: The "larger number" will be referred to as y, and the "smaller number" will be referred to as x.</em>
"A number, y, is equal to twice the sum of a smaller number and 3."
This tells us that we must add our smaller number (x) to 3 within parantheses and then multiply the entire term (x+3) by 2.
"The larger number is also equal to 5 more than 3 times the smaller number."
This tells us that we must multiply 3 against our smaller number (x) and add 5 to it.
Now, to find your answer, we can put the equations in the same form as the answer choices so as to find an equivalent equation. Lets start with the first equation.
This form calls for us to have our x term first, then our y term, then our constant.
Now that we've gotten the equation in that form, we can see that our answer choices hold that our leading co-efficient must be positive, which we can adjust for by dividing both sides by -1.
This makes the only possible answer choices (A) and (C).
Now, lets do our second equation. The recipe calls for the same form, again with a positive leading coefficient.
This is only represented by choices (A) and (B).
Therefore, answer choice (A) is the only one which represents both equations.