Answer:
Correct Option: A. If plain balloons cost $0.75, then picture balloons cost $3 or less
Explanation:
Inequalities
Let's call:
x=cost of a plain balloon
y=cost of a picture balloon
Jamie bought 4 plain balloons and 3 picture balloons, thus he spent 4x+3y dollars.
Paola bought 4 picture balloons, thus she spent 4y dollars.
The condition states that Paola spent no more than Jamie, thus:
4y ≤ 4x + 3y
Subtraction 3y:
4y - 3y ≤ 4x + 3y - 3y
Simplifying:
y ≤ 4x
The relationship between y and x is now evident. We only have to test the options and select the correct:
A. If plain balloons cost x=$0.75, then
y ≤ 4(0.75) or y ≤ 3
Picture balloons cost no more than $3. This option is correct
B. If plain balloons cost x=$0.75, then
y ≤ 4(0.75) or y ≤ 3
Picture balloons cost no more than $3. This option is not correct
C. If plain balloons cost x=$1.50, then
y ≤ 4(1.50) or y ≤ 6
Picture balloons cost no more than $6. This option is not correct
D. If plain balloons cost x=$1.50, then
y ≤ 4(1.50) or y ≤ 6
Picture balloons cost no more than $6. This option is not correct
Correct Option: A. If plain balloons cost $0.75, then picture balloons cost $3 or less