Maya is working two summer jobs, making $7 per hour babysitting and $11 per hour landscaping. Last week Maya earned a total of $96 and worked 3 times as many hours babysitting as she worked hours landscaping. Determine the number of hours Maya worked babysitting last week and the number of hours she worked landscaping last week.

Respuesta :

$7 x 9hours = $63
$11 x 3hours = $33
$63 + $33 = $96
9hour + 3hours = 12hours
12 hours

The number of hours Maya worked babysitting and landscaping last week is 2.4 hours and 7.2 hours respectively

Given:

Earnings for babysitting = $7

my Earnings for landscaping = $11

Total earnings = $96

Iet

number of hours babysitting = x

number of hours landscaping = y

y = 3 × x

y = 3x (1)

y = 3x (1)7x + 11y = 96 (2)

substitute (1) into (2)

7x + 11y = 96 (2)

7x + 11(3x) = 96

7x + 33x = 96

40x = 96

x = 96/40

x = 2.4 hours

substitute x = 2.4 into (1)

y = 3x (1)

y = 3(2.4)

y = 7.2 hours

Therefore, the number of hours Maya worked babysitting and landscaping last week is 2.4 hours and 7.2 hours respectively

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