Answer:
The system of equations is
When solved
- The cost of one watermelon(w) is $2.25
- The cost of one peach(p) is $0.65
Step-by-step explanation:
Let the price of one peach =p
Let the price of one watermelon=w
On <u>Monday</u>, bought 5 peaches and 2 watermelons for $7.75.
On Thursday, Josh went back to the Farmer's Market and bought 3 peaches and 4 watermelons for $10.95.
The system of equation that could be used to solve for the price of one peach (p) and one watermelon (w) is therefore:
To solve this, Multiply the first equation by 4 and the second equation by 2.
Subtract
14p=9.1
Divide both sides by 14
p=$0.65
Next, we substitute p=$0.65 in any equation to obtain w.
5p+2w=7.75
5(0.65)+2w=7.75
2w=7.75-3.25
2w=4.5
w=$2.25
Therefore:
- The cost of one watermelon(w) is $2.25
- The cost of one peach(p) is $0.65