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aalyn
1 month ago
15

This past Saturday, Jack worked for 3 hours mowing the lawn and doing chores in the house. Mowing the lawn burns 352 calories pe

r hour and doing chores burns 136 calories per hour. If he burned a total of 570 calories, how long did it take him to mow the lawn?
Mathematics
1 answer:
AnnZ [12.3K]1 month ago
3 0
Let x represent the time invested in mowing the lawn, and y for the chores done. Then,
x + y = 3
Additionally, 352x + 136y = 570

From the first equation, we can express y as 3 - x, and substitute into the second equation:

352x + 136(3 - x) = 570
Solving gives us 216x = 570 - 136(3) = 162
Thus, x = 162/216 = 0.75 

This indicates he dedicated 0.75 hours (or 45 minutes) to mowing the lawn.

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8 0
1 month ago
A pineapple is 7 times as heavy as an orange. the pineapple also weighs 870 grams more than the orange. what is the total weight
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Let's convert each statement into mathematical terms.

Pineapple = p

Orange = x

is indicates equality

 

Pineapple has a weight that is 7 times that of an orange:  p = 7x

Pineapple is 870 grams heavier than the orange. p = 870 + x

 

Insert  p = 7x  into the second equation:

7x = 870 + x

Subtract  x from both sides

6x = 870

Divide by 6

x = 145

 

The weight of the orange is 145 grams.

The weight of the pineapple is 7 times that of the orange = 7(145) = 1015 grams.

4 0
2 months ago
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