Question

A bagel costs 50

cents more than an apple. A cup of tea is 1.5
times the cost of a bagel. A cup of tea cost $1.95
.

Which equation shows the relationship between the cost of a bagel and an apple, m
?

Responses

1.95=0.5m+50
1.95 = 0.5 m + 50

1.95(50+m)=1.5
1.95 ( 50 + m ) = 1.5

1.95=1.5(m+0.5)
1.95 = 1.5 ( m + 0.5 )

1.95(1.5)=m+0.5

Answer 1

1.95 = 1.5(m + 0.50)

======================

This matches the third answer option.

1.95=1.5(m+0.5)

1.95 = 1.5 ( m + 0.5 )

Explanation:

m stands for apple

We can write:

Tea, T = $1.95 ["A cup of tea cost $1.95"]

Bagel, B = m + $0.50 [A bagel costs 50 cents more than an apple]

T = 1.5B [A cup of tea is 1.5 times the cost of a bagel]

Use the last two equations:

B = m + $0.50

T = 1.5B

Since T = $1.95. we can find the price of a bagel, B:

$1.95 = 1.5B

B = ($1.95)/1.5

B = $1.30

But the solution options don't go this far, so lets leave the price of a bagel B = ($1.95)/1.5

B = m + $0.50 Third equation

($1.95)/1.5 = m + $0.50

$1.95= 1.5(m + $0.50)

A = $0.80

======================

$1.30 = A + $0.50

($1.95)/1.5 = m + $0.50

or

1.95 = 1.5(m + 0.50)

======================

This matches the third answer option.

1.95=1.5(m+0.5)

1.95 = 1.5 ( m + 0.5 )