Sarah is making a balloon arc, with pink and yellow balloons, for decorating her brother’s birthday party. For the balloon arc, she needs 4 more pink balloons than twice the yellow balloons. If she has x yellow balloons, then how many pink balloons are needed to finish making the balloon arc? Write an expression she would use to determine the total amount of balloons needed for the arc. show your work
If Sarah has x yellow balloons, then twice the number of yellow balloons would be 2x. Since Sarah needs 4 more pink balloons than twice the number of yellow balloons, the expression she would use to determine the total number of balloons needed for the arc is 2x + 4.
Let's break down the problem step-by-step:
1. Given: Sarah needs 4 more pink balloons than twice the number of yellow balloons.
2. Let's represent the number of yellow balloons as "x".
3. Twice the number of yellow balloons is represented as "2x".
4. Sarah needs 4 more pink balloons than "2x", which can be represented as "2x + 4".
5. To determine the total number of balloons needed for the arc, Sarah would add the number of pink balloons with the number of yellow balloons: "2x + 4 + x".
6. Simplifying the expression, the total number of balloons needed for the balloon arc is "3x + 4".
So, the expression Sarah would use to determine the total amount of balloons needed for the arc is "3x + 4".