Question

Tatenda takes t seconds to mow a square meter of lawn and Ciara takes c seconds to mow a square meter of lawn. Tatenda mows 700 square meters of lawn per week and Ciara mows 750 square meters of lawn per week.

Answer 1

It is given to us that Tatenda takes t seconds to mow a square meter of lawn and Ciara takes c seconds to mow a square meter of lawn.

It is also given to us that Tatenda mows 700 square meters of lawn per week and Ciara mows 750 square meters of lawn per week.

Thus, if Tatenda mows 700
`m^(2)` in a week, then that means he took
`700* t` seconds to complete the mowing.

Likewise, if Ciara mows 750
`m^(2)` in a week, then that means she took
`700* c` seconds to complete the mowing.

Answer 2

2800t-3000c and also 4(700t-750c)

Explanation:

That means that each week, Tatenda spends \maroonD{700t}-\goldE{750c}700t−750cstart color maroonD, 700, t, end color maroonD, minus, start color goldE, 750, c, end color goldE more seconds mowing than Ciara does.

So in \purple{4}4start color purple, 4, end color purple weeks, he spends \purple{4}4start color purple, 4, end color purple times that many more seconds mowing.

We can also use the expression \purpleD{4}(\maroonD{700t}-\goldE{750c})4(700t−750c)start color purpleD, 4, end color purpleD, left parenthesis, start color maroonD, 700, t, end color maroonD, minus, start color goldE, 750, c, end color goldE, right parenthesis to find how many more seconds Tatenda spent in all.

Hint #55 / 6

These expressions are equivalent.

\begin{aligned} {4}({700t}-{750c})&=4\cdot700t-4\cdot750c\\\\ &=2800t-3000c \end{aligned}

4(700t−750c)

​

=4⋅700t−4⋅750c

=2800t−3000c

​

Hint #66 / 6

We can use the expression 2800t-3000c2800t−3000c2800, t, minus, 3000, c or {4}({700t}-{750c})4(700t−750c)4, left parenthesis, 700, t, minus, 750, c, right parenthesis to describe how many more seconds Tatenda spends than Ciara spends mowing lawns during 444 weeks.