Please help me solve this problem?
The first mechanic worked 10 hours and the second mechanic worked 5 hours. Together they both charged a total of $1250 for their work. Their sum of two rates is $165 per hour. So how much did the first and second mechanics charged?
3 answers
Please I need help
rate charged by first mechanic --- x
rate charged by second mechanic -- y
"sum of their rates is 165" ---> x+y = 165
"first mechanic worked 10 hours" ---> 10x
"the second mechanic worked 5 hours" --- 5y
"Together they both charged a total of $1250 for their work." ---> 10x+5y=1250
See how I translated the English into Math ?
simplify the 2nd:
10x+5y=1250 , divide each term by 5
2x+y=250
2x+y=250
x+y=165
subtract them:
x = 85
back into the first
85+y=165
y=80
State the conclusion in sentence form.
rate charged by second mechanic -- y
"sum of their rates is 165" ---> x+y = 165
"first mechanic worked 10 hours" ---> 10x
"the second mechanic worked 5 hours" --- 5y
"Together they both charged a total of $1250 for their work." ---> 10x+5y=1250
See how I translated the English into Math ?
simplify the 2nd:
10x+5y=1250 , divide each term by 5
2x+y=250
2x+y=250
x+y=165
subtract them:
x = 85
back into the first
85+y=165
y=80
State the conclusion in sentence form.
OK so I just multiplied 85*10 which gave me 850 and 80*5 which gave me 400 and just added it together and got 1250. Thank you!!!
1 answer